ACM Bundles, Quintic Threefolds and Counting Problems

Prabhakar Rao; N. Mohan Kumar

doi:10.2478/s11533-012-0017-7

ACM Bundles, Quintic Threefolds and Counting Problems

Prabhakar Rao, N. Mohan Kumar

University of Missouri-St. Louis

Research output: Contribution to journal › Article › peer-review

Abstract

We review some facts about rank two arithmetically Cohen-Macaulay bundles on quintic threefolds. In particular, we separate them into seventeen natural classes, only fourteen of which can appear on a general quintic. We discuss some enumerative problems arising from these.

Original language	American English
Journal	Central European Journal of Mathematics
Volume	10
DOIs	https://doi.org/10.2478/s11533-012-0017-7
State	Published - Feb 8 2012

Keywords

Vector bundles
Quintic threefolds
Arithmetically Cohen-Macaulay

Disciplines

Physical Sciences and Mathematics
Computer Sciences

Access to Document

10.2478/s11533-012-0017-7License: CC BY-NC-ND

ACMBundlesQuinticThreefoldsAndCountingProblems.pdfFinal published version, 1.19 MBLicense: CC BY-NC-ND

Cite this

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KW - Vector bundles

KW - Quintic threefolds

KW - Arithmetically Cohen-Macaulay

UR - https://link.springer.com/article/10.2478/s11533-012-0017-7

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DO - 10.2478/s11533-012-0017-7

M3 - Article

VL - 10

JO - Central European Journal of Mathematics

JF - Central European Journal of Mathematics

ER -

ACM Bundles, Quintic Threefolds and Counting Problems

Abstract

Keywords

Disciplines

Access to Document

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Cite this