Weights on cohomology, invariants of singularities, and dual complexes

D Arapura; Parsa Bakhtary; J Wlodarczyk

Weights on cohomology, invariants of singularities, and dual complexes

D Arapura, Parsa Bakhtary, J Wlodarczyk

King Fahd University of Petroleum & Minerals

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

14 Scopus citations

Abstract

We study the weight filtration on the cohomology of a proper complex algebraic variety and obtain natural upper bounds on its size, when it is the exceptional divisor of a singularity. We also give bounds for the cohomology of links. The invariants of singularities introduced here gives rather strong information about the topology of rational and related singularities.

Original language	English
Journal	Mathematische Annalen
State	Published - 2013

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title = "Weights on cohomology, invariants of singularities, and dual complexes",

abstract = "We study the weight filtration on the cohomology of a proper complex algebraic variety and obtain natural upper bounds on its size, when it is the exceptional divisor of a singularity. We also give bounds for the cohomology of links. The invariants of singularities introduced here gives rather strong information about the topology of rational and related singularities.",

author = "D Arapura and Parsa Bakhtary and J Wlodarczyk",

year = "2013",

language = "English",

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TY - JOUR

T1 - Weights on cohomology, invariants of singularities, and dual complexes

AU - Arapura, D

AU - Bakhtary, Parsa

AU - Wlodarczyk, J

PY - 2013

Y1 - 2013

N2 - We study the weight filtration on the cohomology of a proper complex algebraic variety and obtain natural upper bounds on its size, when it is the exceptional divisor of a singularity. We also give bounds for the cohomology of links. The invariants of singularities introduced here gives rather strong information about the topology of rational and related singularities.

AB - We study the weight filtration on the cohomology of a proper complex algebraic variety and obtain natural upper bounds on its size, when it is the exceptional divisor of a singularity. We also give bounds for the cohomology of links. The invariants of singularities introduced here gives rather strong information about the topology of rational and related singularities.

M3 - Article

SN - 0025-5831

JO - Mathematische Annalen

JF - Mathematische Annalen

ER -

Weights on cohomology, invariants of singularities, and dual complexes

Abstract

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