Birational Geometry of the Moduli Space of Rank 2 Parabolic Vector Bundles on a Rational Curve

被引：5

作者：

Moon, Han-Bom ^{[1
]}

Yoo, Sang-Bum ^{[2
]}

机构：

[1] Fordham Univ, Dept Math, Bronx, NY 10458 USA

[2] POSTECH, Dept Math, Pohang 790784, Gyungbuk, South Korea

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2016年 / 2016卷 / 03期

关键词：

VARIETIES; POINTS;

D O I：

10.1093/imrn/rnv154

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the birational geometry (in the sense of Mori's program) of the moduli space of rank 2 semistable parabolic vector bundles on a rational curve. We compute the effective cone of the moduli space and show that all birational models obtained by Mori's program are also moduli spaces of parabolic vector bundles with certain parabolic weights.

引用

页码：827 / 859

页数：33

共 50 条

[31] On the motive of moduli spaces of rank two vector bundles over a curve
del Baño, S
COMPOSITIO MATHEMATICA, 2002, 131 (01) : 1 - 30
[32] Betti numbers of the moduli space of rank 3 parabolic Higgs bundles
Garcia-Prada, O.
Gothen, P. B.
Munoz, V.
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 187 (879) : 1 - +
[33] ON THE MODULI SPACE OF VECTOR-BUNDLES ON THE FIBERS OF THE UNIVERSAL CURVE
KOUVIDAKIS, A
JOURNAL OF DIFFERENTIAL GEOMETRY, 1993, 37 (03) : 505 - 522
[34] Stability of Picard bundle over moduli space of stable vector bundles of rank two over a curve
Indranil Biswas
Tomás L Gómez
Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2001, 111 : 263 - 269
[35] DEFORMATIONS OF MODULI SPACE OF VECTOR BUNDLES OVER AN ALGEBRAIC CURVE
NARASIMHAN, MS
RAMANAN, S
ANNALS OF MATHEMATICS, 1975, 101 (03) : 391 - 417
[36] Stability of Picard bundle over moduli space of stable vector bundles of rank two over a curve
Biswas, I
Gómez, TL
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2001, 111 (03): : 263 - 269
[37] TAUTOLOGICAL RING OF THE MODULI SPACE OF GENERALISED PARABOLIC LINE BUNDLES ON A CURVE
Iyer, Jaya N. N.
COMMUNICATIONS IN ALGEBRA, 2014, 42 (02) : 755 - 763
[38] THE GEOMETRY OF A MODULI SPACE OF BUNDLES
Teleman, Andrei
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 2020, 65 (03): : 369 - 397
[39] Brauer groups and Picard groups of the moduli of parabolic vector bundles on a nodal curve
Bhosle, Usha N.
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY, 2024, 65 (03): : 751 - 774
[40] A TORELLI THEOREM FOR MODULI SPACES OF PARABOLIC VECTOR BUNDLES OVER AN ELLIPTIC CURVE
Fassarella, Thiago
Justo, Luana
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 150 (05) : 1849 - 1863

← 1 2 3 4 5 →