تقرير
Moduli of Abelian varieties, Vinberg theta-groups, and free resolutions
| العنوان: | Moduli of Abelian varieties, Vinberg theta-groups, and free resolutions |
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| المؤلفون: | Gruson, Laurent, Sam, Steven V, Weyman, Jerzy |
| المصدر: | Commutative Algebra (edited by Irena Peeva), 419-469, Springer, 2013 |
| سنة النشر: | 2012 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra, Mathematics - Representation Theory, 13D02, 14K05, 15A72, 14L24 |
| الوصف: | We present a systematic approach to studying the geometric aspects of Vinberg theta-representations. The main idea is to use the Borel-Weil construction for representations of reductive groups as sections of homogeneous bundles on homogeneous spaces, and then to study degeneracy loci of these vector bundles. Our main technical tool is to use free resolutions as an "enhanced" version of degeneracy loci formulas. We illustrate our approach on several examples and show how they are connected to moduli spaces of Abelian varieties. To make the article accessible to both algebraists and geometers, we also include background material on free resolutions and representation theory. Comment: 41 pages, uses tabmac.sty, Dedicated to David Eisenbud on the occasion of his 65th birthday; v2: fixed some typos and added references |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/978-1-4614-5292-8_13 |
| الوصول الحر: | http://arxiv.org/abs/1203.2575Test |
| رقم الانضمام: | edsarx.1203.2575 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/978-1-4614-5292-8_13 |
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