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Relevant bibliographies by topics / Line bundles of extremal degree

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Journal articles
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Academic literature on the topic 'Line bundles of extremal degree'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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Journal articles on the topic "Line bundles of extremal degree"

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Wang, Jie. "On the projective normality of line bundles of extremal degree." Mathematische Annalen 355, no. 3 (2012): 1007–24. http://dx.doi.org/10.1007/s00208-012-0809-x.

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Novelli, Carla, and Gianluca Occhetta. "Manifolds Covered by Lines and Extremal Rays." Canadian Mathematical Bulletin 55, no. 4 (2012): 799–814. http://dx.doi.org/10.4153/cmb-2011-119-7.

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AbstractLet X be a smooth complex projective variety, and let H ∈ Pic(X) be an ample line bundle. Assume that X is covered by rational curves with degree one with respect to H and with anticanonical degree greater than or equal to (dimX – 1)/2. We prove that there is a covering family of such curves whose numerical class spans an extremal ray in the cone of curves NE(X).

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Ballico, Edoardo. "Components with the expected codimension in the moduli scheme of stable spin curves." Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica 69, no. 1 (2015): 1. http://dx.doi.org/10.17951/a.2015.69.1.1.

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Here we study the Brill–Noether theory of “extremal” Cornalba’s theta-characteristics on stable curves C of genus g, where “extremal” means that they are line bundles on a quasi-stable model of C with #(Sing(C)) exceptional components.

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Ballico, Edoardo. "Components with the expected codimension in the moduli scheme of stable spin curves." Annales UMCS, Mathematica 69, no. 1 (2015): 1–4. http://dx.doi.org/10.1515/umcsmath-2015-0009.

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AbstractHere we study the Brill-Noether theory of “extremal” Cornalba’s theta-characteristics on stable curves C of genus g, where “extremal” means that they are line bundles on a quasi-stable model of C with #(Sing(C)) exceptional components

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Kemeny, Michael. "The extremal secant conjecture for curves of arbitrary gonality." Compositio Mathematica 153, no. 2 (2017): 347–57. http://dx.doi.org/10.1112/s0010437x16008198.

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We prove the Green–Lazarsfeld secant conjecture [Green and Lazarsfeld, On the projective normality of complete linear series on an algebraic curve, Invent. Math. 83 (1986), 73–90; Conjecture (3.4)] for extremal line bundles on curves of arbitrary gonality, subject to explicit genericity assumptions.

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Mozgovoy, Sergey, and Olivier Schiffmann. "Counting Higgs bundles and type quiver bundles." Compositio Mathematica 156, no. 4 (2020): 744–69. http://dx.doi.org/10.1112/s0010437x20007010.

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We prove a closed formula counting semistable twisted (or meromorphic) Higgs bundles of fixed rank and degree over a smooth projective curve of genus $g$ defined over a finite field, when the twisting line bundle degree is at least $2g-2$ (this includes the case of usual Higgs bundles). This yields a closed expression for the Donaldson–Thomas invariants of the moduli spaces of twisted Higgs bundles. We similarly deal with twisted quiver sheaves of type $A$ (finite or affine), obtaining in particular a Harder–Narasimhan-type formula counting semistable $U(p,q)$-Higgs bundles over a smooth proje

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Ballico, E. "Stable vector bundles on curves: numerical invariants of their extremal subbundles." MATHEMATICA SCANDINAVICA 89, no. 1 (2001): 46. http://dx.doi.org/10.7146/math.scand.a-14330.

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Let $X$ be a smooth projective curve of genus $g \geq 2$ and $E$ a rank $r$ vector bundle on $X$. If $1 \leq t < r$ set $s_t(E)$:= sup $\lbrace t$(deg($E$)) - $r$(deg($F$)), where $F$ is a rank $t$ subsheaf of $E \rbrace $. Here we construct rank $r$ stable vector bundles $E$ on $X$ such that the sequence $ \lbrace s_t(E) \rbrace _{1 \leq t<r}$ has a prescribed value and the set of all subsheaves of $E$ with maximal degree may be explicitely described.

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Kramer, J., and J. Jorgenson. "Towards the arithmetic degree of line bundles� on abelian varieties." manuscripta mathematica 96, no. 3 (1998): 335–70. http://dx.doi.org/10.1007/s002290050071.

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Lange, H., and G. Martens. "Normal generation of line bundles of degree 2p-2 on curves." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 55, no. 1 (1985): 69–73. http://dx.doi.org/10.1007/bf02941488.

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DEMAILLY, JEAN-PIERRE, THOMAS PETERNELL, and MICHAEL SCHNEIDER. "PSEUDO-EFFECTIVE LINE BUNDLES ON COMPACT KÄHLER MANIFOLDS." International Journal of Mathematics 12, no. 06 (2001): 689–741. http://dx.doi.org/10.1142/s0129167x01000861.

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The goal of this work is to pursue the study of pseudo-effective line bundles and vector bundles. Our first result is a generalization of the Hard Lefschetz theorem for cohomology with values in a pseudo-effective line bundle. The Lefschetz map is shown to be surjective when (and, in general, only when) the pseudo-effective line bundle is twisted by its multiplier ideal sheaf. This result has several geometric applications, e.g. to the study of compact Kähler manifolds with pseudo-effective canonical or anti-canonical line bundles. Another concern is to understand pseudo-effectivity in more al

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Dissertations / Theses on the topic "Line bundles of extremal degree"

1

Wang, Jie. "Geometry of general curves via degenerations and deformations." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1291067498.

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Bedi, Harpreet Singh. "Line Bundles of Rational Degree Over Perfectoid Space." Thesis, The George Washington University, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10681242.

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<p> In this thesis we lay the foundation for rational degree d as an element of Z[1/p] by using perfectoid analogue of projective space, and consider power series instead of polynomials. We start the groundwork by proving Weierstrass theorems for perfectoid spaces which are analogues of standard Weierstrass theorems in complex analysis. We then move onto defining sheaves for Projective perfectoid analogue and prove perfectoid analogues of Gorthendieck's classication theorem on projective line, Serre's theorem on Cohomology of line bundles. As intermediate results we also compute Picard groups

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Conference papers on the topic "Line bundles of extremal degree"

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Bryce, Peter W., Peter Jax, and Jie Fang. "The Design and Installation of the LEOS Leak Detection and Location System for the Northstar Project." In 2002 4th International Pipeline Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/ipc2002-27042.

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The Northstar project is the first crude oil production facility constructed offshore in the Beaufort Sea. Produced crude oil is transferred via a buried subsea pipeline to shore and overland to the Trans Alaska Pipeline Pump Station PS1 facility. During the permitting process, concern was expressed that a very small chronic leak in the subsea oil line would remain undetected during the winter months of continuous ice cover. Therefore, the US Army Corps of Engineers stipulated that a prototype leak detection system be installed that would capable of detecting a threshold leak less than 32 BOPD

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