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Books on the topic 'Shimura varietie'

Author: Grafiati

Published: 9 March 2023

Last updated: 31 July 2025

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1

Fargues, Laurent. Variétés de Shimura, espaces de Rapoport-Zink et correspondances de Langlands locales. Société Mathématique de France, 2004.

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2

Benjamin, Howard, and Kudla Stephen S. 1950-, eds. Arithmetic divisors on orthogonal and unitary Shimura varieties. Société Mathématique de France, 2020.

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3

Harris, Michael. Boundary cohomology of Shimura varieties, III: Coherent cohomology on higher-rank boundary strata and applications to Hodge theory. Société mathématique de France, 2001.

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4

Harris, Michael. Boundary cohomology of Shimura varieties, III: Coherent cohomology on higher-rank boundary strata and applications to Hodge theory. Société Mathématique de France, 2001.

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5

Hida, Haruzo. p-Adic Automorphic Forms on Shimura Varieties. Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4684-9390-0.

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6

Atanasov, Stanislav Ivanov. Derived Hecke Operators on Unitary Shimura Varieties. [publisher not identified], 2022.

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7

Hida, Haruzo. p-Adic Automorphic Forms on Shimura Varieties. Springer New York, 2004.

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8

Dung, Nguyen Chi. Geometric pullback formula for unitary Shimura varieties. [publisher not identified], 2022.

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9

Harder, Günter. Eisensteinkohomologie und die Konstruktion gemischter Motive. Springer-Verlag, 1993.

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10

Reimann, Harry. The semi-simple zeta function of quaternionic Shimura varieties. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0093995.

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11

Reimann, Harry. The semi-simple zeta function of quaternionic Shimura varieties. Springer, 1997.

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12

Reimann, Harry. The semi-simple zeta function of quaternionic Shimura varieties. Springer, 1997.

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13

Alsina, Montserrat. Quaternion orders, quadratic forms, and Shimura curves. American Mathematical Society, 2004.

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14

Institute, Clay Mathematics. Harmonic analysis, the trace formula, and Shimura varieties: Proceedings of the Clay Mathematics Institute, 2003 Summer School, the Fields Institute, Toronto, Canada, June 2-27, 2003. American Mathematical Society ;Clay Mathematics Institute, 2006.

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15

Andreatta, F. Arithmétique p-adique des formes de Hilbert. Société mathématique de France, 2016.

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16

1953-, Clozel Laurent, and Milne J. S. 1942-, eds. Automorphic forms, Shimura varieties, and L-functions: Proceedings of a conference held at the University of Michigan, Ann Arbor, July 6-16, 1988. Academic Press, 1990.

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17

1944-, Arthur James, Ellwood D. 1966-, and Kottwitz Robert E, eds. Harmonic analysis, the trace formula and Shimura varieties: Proceedings of the Clay Mathematics Institute, 2003 Summer School, the Fields Institute, Toronto, Canada, June 2-27, 2003. American Mathematical Society, 2005.

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18

Haines, Thomas, and Michael Harris, eds. Shimura Varieties. Cambridge University Press, 2020. http://dx.doi.org/10.1017/9781108649711.

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19

Harris, Michael, and Thomas Haines. Shimura Varieties. Cambridge University Press, 2020.

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20

Shimura Varieties. Cambridge University Press, 2020.

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21

Cattani, Eduardo, Fouad El Zein, Phillip A. Griffiths, and Lê Dũng Tráng, eds. Shimura Varieties: A Hodge-Theoretic Perspective. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161341.003.0012.

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This chapter discusses certain cleverly constructed unions of modular varieties, called Shimura varieties, in the Hodge-theoretic perspective. The Shimura varieties can show the minimal (i.e., reflex) field of definition of a Hodge/zero locus setting, and also reveal quite a bit about the interplay between “upstairs” and “downstairs” (in Ď and Γ‎\D, respectively) fields of definition of subvarieties. Hence, the chapter defines the Hermitian symmetric domains in D as well as the locally symmetric varieties Γ‎\D. It then discusses the theory of complex multiplication, before introducing Shimura

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22

Cycles, Motives and Shimura Varieties. Narosa Publishing House, 2011.

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23

Ichino, Atsushi, and Kartik A. Prasanna. Periods of Quaternionic Shimura Varieties. I. American Mathematical Society, 2021.

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24

Harris, Michael. Boundary Cohomology of Shimura Varieties, III: Coherent Cohomology on Higher Rank. Societe Mathematique De France, 2002.

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25

Lan, Kai-Wen. Arithmetic Compactifications of Pel-Type Shimura Varieties. Princeton University Press, 2013.

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26

P-Adic Automorphic Forms on Shimura Varieties. Island Press, 2004.

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27

Arithmetic compactifications of PEL-type Shimura varieties. 2008.

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28

Lan, Kai-Wen. Arithmetic Compactifications of PEL-Type Shimura Varieties. Princeton University Press, 2013.

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29

Hida, Haruzo. p-Adic Automorphic Forms on Shimura Varieties. Springer, 2004.

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30

Arithmetic compactifications of PEL-type Shimura varieties. 2013.

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31

The Geometry and Cohomology of Some Simple Shimura Varieties. Princeton University Press, 2001.

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32

Reimann, Harry. Semi-Simple Zeta Function of Quaternionic Shimura Varieties. Springer London, Limited, 2006.

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33

Automorphic forms and Shimura varieties of PGSp (2). World Scientific Pub., 2005.

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34

Automorphic Forms and Shimura Varieties of PGSp(2). World Scientific Publishing Company, 2005.

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35

On The Cohomology Of Certain Noncompact Shimura Varieties. Princeton University Press, 2010.

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36

On the cohomology of certain noncompact Shimura varieties. Princeton University Press, 2010.

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37

Weight spectral sequence and Hecke correspondence on Shimura varieties. 2006.

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38

Taylor, Richard, and Michael Harris. The Geometry and Cohomology of Some Simple Shimura Varieties. Princeton University Press, 2001.

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39

Variétés de Shimura, espaces de Rapoport-Zink et correspondances de Langlands locales. Société Mathématique de France, 2004.

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40

Clozel, Laurent. Automorphic Forms, Shimura Varieties and L-Functions: Proceedings of a Conference Held at the University of Michigan, Ann Arbor, July 6-16, 1988 (Pe). Academic Pr, 1990.

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41

Clozel, Laurent. Automorphic Forms, Shimura Varieties and L-Functions: Proceedings of a Conference Held at the University of Michigan, Ann Arbor, July 6-16, 1988 (Pe). Academic Pr, 1990.

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42

Clozel, Laurent. Automorphic Forms, Shimura Varieties and L-Functions: Proceedings of a Conference Held at the University of Michigan, Ann Arbor, July 6-16, 1988 (Pe). Academic Pr, 1990.

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43

Clozel, Laurent. Automorphic Forms, Shimura Varieties and L-Functions: Proceedings of a Conference Held at the University of Michigan, Ann Arbor, July 6-16, 1988 (Pe). Academic Pr, 1990.

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44

Taylor, Richard, and Michael Harris. Geometry and Cohomology of Some Simple Shimura Varieties. (Am-151). Princeton University Press, 2001.

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45

Hodge Cycles, Motives, and Shimura Varieties (Lecture Notes in Mathematics). Springer, 1989.

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46

Wüstholz, Gisbert, and Clemens Fuchs, eds. Arithmetic and Geometry. Princeton University Press, 2019. http://dx.doi.org/10.23943/princeton/9780691193779.001.0001.

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This book presents highlights of recent work in arithmetic algebraic geometry by some of the world's leading mathematicians. Together, these 2016 lectures—which were delivered in celebration of the tenth anniversary of the annual summer workshops in Alpbach, Austria—provide an introduction to high-level research on three topics: Shimura varieties, hyperelliptic continued fractions and generalized Jacobians, and Faltings heights and L-functions. The book consists of notes, written by young researchers, on three sets of lectures or minicourses given at Alpbach. The first course contains recent r

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47

Howard, Benjamin, and Tonghai Yang. Intersections of Hirzebruch-Zagier Divisors and CM Cycles. Springer, 2012.

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48

Morel, Sophie. On the Cohomology of Certain Non-Compact Shimura Varieties (Am-173). Princeton University Press, 2010.

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49

Morel, Sophie. On the Cohomology of Certain Non-Compact Shimura Varieties (Am-173). Princeton University Press, 2010.

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50

Morel, Sophie. On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173). Princeton University Press, 2010.

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