Ulrich trichotomy on del Pezzo surfaces

被引：0

作者：

Coskun, Emre ^{[1
]}

Genc, Ozhan ^{[2
]}

机构：

[1] Middle East Tech Univ, Dept Math, Ankara, Turkiye

[2] Jagiellonian Univ, Fac Math & Comp Sci, ul Lojasiewicza 6, PL-30348 Krakow, Poland

来源：

ADVANCES IN GEOMETRY | 2023年 / 23卷 / 01期

关键词：

Algebraic geometry; vector bundle; Ulrich bundle; quiver representation; REPRESENTATIONS; BUNDLES; ALGEBRAS;

D O I：

10.1515/advgeom-2022-0024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use a correspondence between Ulrich bundles on a projective variety and quiver representations to prove that certain del Pezzo surfaces satisfy the Ulrich trichotomy, for any given polarization.

引用

页码：51 / 68

页数：18

共 50 条

[31] A NOTE ON DEGENERATIONS OF DEL PEZZO SURFACES
Prokhorov, Yuri
ANNALES DE L INSTITUT FOURIER, 2015, 65 (01) : 369 - 388
[32] Exceptional curves on Del Pezzo surfaces
Knutsen, AL
MATHEMATISCHE NACHRICHTEN, 2003, 256 : 58 - 81
[33] Del Pezzo surfaces with nonrational singularities
Chel'tsov, IA
MATHEMATICAL NOTES, 1997, 62 (3-4) : 377 - 389
[34] ENUMERATIVE GEOMETRY OF DEL PEZZO SURFACES
Lin, Yu-shen
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 377 (05) : 3015 - 3054
[35] Del Pezzo surfaces of degree 6
Corn, P
MATHEMATICAL RESEARCH LETTERS, 2005, 12 (01) : 75 - 84
[36] Del Pezzo surfaces as hyperplane sections
Lanteri, A
Palleschi, M
Sommese, AJ
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1997, 49 (03) : 501 - 529
[37] Lagrangian spheres in Del Pezzo surfaces
Evans, J. D.
JOURNAL OF TOPOLOGY, 2010, 3 (01) : 181 - 227
[38] Isotopy classes of involutions of del Pezzo surfaces
Lee, Seraphina Eun Bi
ADVANCES IN MATHEMATICS, 2023, 426
[39] On the unirationality of del Pezzo surfaces of degree 2
Salgado, Cecilia
Testa, Damiano
Varilly-Alvarado, Anthony
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2014, 90 : 121 - 139
[40] Bounding geometrically integral del Pezzo surfaces
Bernasconi, Fabio
Martin, Gebhard
FORUM OF MATHEMATICS SIGMA, 2024, 12

← 1 2 3 4 5 →