Regularity of structure sheaves of varieties with isolated singularities
- 주제(키워드) 도움말 Castelnuovo-Mumford regularity , Eisenbud-Goto regularity conjecture , isolated singularity , double point divisor , multiplier ideal
- 발행기관 WORLD SCIENTIFIC PUBL CO PTE LTD
- 발행년도 2021
- 총서유형 Journal
- 본문언어 영어
초록/요약 도움말
Let X subset of P-N be a non-degenerate normal projective variety of codimension e and degree d with isolated Q-Gorenstein singularities. We prove that the Castelnuovo-Mumford regularity reg(O-X) <= d - e, as predicted by the Eisenbud-Goto regularity conjecture. Such a bound fails for general projective varieties by a recent result of McCullough-Peeva. The main techniques are Noma's classification of non-degenerate projective varieties and Nadel vanishing for multiplier ideals. We also classify the extremal and the next to extremal cases.
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