Log in

Relevant bibliographies by topics / Abelian categories / Books

To see the other types of publications on this topic, follow the link: Abelian categories.

Books on the topic 'Abelian categories'

Author: Grafiati

Published: 4 June 2021

Last updated: 20 February 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 25 books for your research on the topic 'Abelian categories.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse books on a wide variety of disciplines and organise your bibliography correctly.

1

Borceux, Francis. Mal'cev, protomodular, homological and semi-abelian categories. Dordrecht: Kluwer Academic, 2004.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

2

1942-, Reiten Idun, and Smalø Sverre O, eds. Tilting in Abelian categories and quasitilted algebras. Providence, R.I: American Mathematical Society, 1996.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

3

Borceux, Francis, and Dominique Bourn. Mal’cev, Protomodular, Homological and Semi-Abelian Categories. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-1962-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Borceux, Francis. Handbook of categorical algebra 2: Categories and structures. Cambridge [England]: Cambridge University Press, 1994.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

5

Definable additive categories: Purity and model theory. Providence, R.I: American Mathematical Society, 2011.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

6

Verdier, Jean Louis. Des catégories dérivées des catégories abéliennes. Paris: Société mathématique de France, 1996.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

7

Bernstein, Joseph. Equivariant sheaves and functors. Berlin: Springer-Verlag, 1994.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

8

1943-, Schapira Pierre, ed. Ind-sheaves. Paris: Société mathématique de France, 2001.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

9

A non-Hausdorff completion: The Abelian category of C-complete left modules over a topological ring. New Jersey: World Scientific, 2015.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

10

Pantev, Tony. Stacks and catetories in geometry, topology, and algebra: CATS4 Conference Higher Categorical Structures and Their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, July 2-7, 2012, CIRM, Luminy, France. Providence, Rhode Island: American Mathematical Society, 2015.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

11

Schneiders, Jean-Pierre. Quasi-Abelian Categories and Sheaves. Societe Mathematique De France, 1999.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

12

Dimitric, Radoslav. Slenderness: Volume 1, Abelian Categories. Cambridge University Press, 2018.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

13

Dimitric, Radoslav. Slenderness: Volume 1, Abelian Categories. Cambridge University Press, 2018.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

14

Borceux, Francis, and Dominique Bourn. Mal'Cev, Protomodular, Homological and Semi-abelian Categories. Springer-Verlag New York Inc., 2004.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

15

Borceux, Francis, and Dominique Bourn. Mal'cev, Protomodular, Homological and Semi-Abelian Categories. Springer, 2010.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

16

Huybrechts, D. Triangulated Categories. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.003.0001.

Full text

Abstract:

Reviewing the basic notions of additive and abelian categories, left and right adjoint functors, and Serre functors, this chapter is mainly devoted to triangulated categories. In particular, criteria are established which decide when a given functor is fully-faithful or an equivalence. This is formulated in terms of spanning classes. The last section discusses exceptional objects in triangulated categories which lead naturally to the notion of orthogonal decompositions of categories.

APA, Harvard, Vancouver, ISO, and other styles

17

Huybrechts, D. Derived Categories of Surfaces. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.003.0012.

Full text

Abstract:

This chapter completes the classification of algebraic surfaces from the point of view of their derived categories. Abelian, K3, and elliptic surfaces play a special role. For all other surfaces, the derived category determines the isomorphism type. The reduction to minimal surfaces is due to Kawamata, and the case of elliptic surfaces was dealt with by Bridgeland and Maciocia.

APA, Harvard, Vancouver, ISO, and other styles

18

Huybrechts, D. Derived Categories: A Quick Tour. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.003.0002.

Full text

Abstract:

This chapter briefly outlines the main steps in the construction of the derived category of an arbitrary abelian category. The homotopy category of complexes is considered as an intermediate step, which is then localized with respect to quasi-isomorphisms. Left and right derived functors are explained in general, and particular examples are studied in more detail. Spectral sequences are treated in a separate section.

APA, Harvard, Vancouver, ISO, and other styles

19

Huybrechts, D. Derived Categories of Coherent Sheaves. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.003.0003.

Full text

Abstract:

The discussion of the previous chapter is applied to the derived category of the abelian category of coherent sheaves. The Serre functor is introduced, and particular spanning classes are constructed. The usual geometric functors, direct and inverse image, tensor product, and global sections, are derived and extended to functors between derived categories. The compatibilities between them are reviewed. The final section focuses on the Grothendieck-Verdier duality.

APA, Harvard, Vancouver, ISO, and other styles

20

Fossum, R. M., P. A. Griffith, and I. Reiten. Trivial Extensions of Abelian Categories: Homological Algebra of Trivial Extensions of Abelian Catergories with Applications to Ring Theory. Springer London, Limited, 2006.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

21

Bakalov, Bojko, and Alexander Kirillov. Lectures on Tensor Categories and Modular Functors (University Lecture Series). American Mathematical Society, 2000.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

22

The Beilinson Complex And Canonical Rings of Irregular Surfaces (Memoirs of the American Mathematical Society). American Mathematical Society, 2006.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

23

Huybrechts, D. K3 Surfaces. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.003.0010.

Full text

Abstract:

After abelian varieties, K3 surfaces are the second most interesting special class of varieties. These have a rich internal geometry and a highly interesting moduli theory. Paralleling the famous Torelli theorem, results from Mukai and Orlov show that two K3 surfaces have equivalent derived categories precisely when their cohomologies are isomorphic weighing two Hodge structures. Their techniques also give an almost complete description of the cohomological action of the group of autoequivalences of the derived category of a K3 surface. The basic definitions and fundamental facts from K3 surface theory are recalled. As moduli spaces of stable sheaves on K3 surfaces are crucial for the argument, a brief outline of their theory is presented.

APA, Harvard, Vancouver, ISO, and other styles

24

Huybrechts, D. Fourier-Mukai Transforms in Algebraic Geometry. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.001.0001.

Full text

Abstract:

This book provides a systematic exposition of the theory of Fourier-Mukai transforms from an algebro-geometric point of view. Assuming a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. The derived category is a subtle invariant of the isomorphism type of a variety, and its group of autoequivalences often shows a rich structure. As it turns out — and this feature is pursued throughout the book — the behaviour of the derived category is determined by the geometric properties of the canonical bundle of the variety. Including notions from other areas, e.g., singular cohomology, Hodge theory, abelian varieties, K3 surfaces; full proofs and exercises are provided. The final chapter summarizes recent research directions, such as connections to orbifolds and the representation theory of finite groups via the McKay correspondence, stability conditions on triangulated categories, and the notion of the derived category of sheaves twisted by a gerbe.

APA, Harvard, Vancouver, ISO, and other styles

25

Variance And Duality For Cousin Complexes On Formal Schemes (Contemporary Mathematics). American Mathematical Society, 2005.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!