Weights in the cohomology of toric varieties

• Autorzy: Andrzej Weber
• Języki publikacji: EN

Abstrakty

EN

We describe the weight filtration in the cohomology of toric varieties. We present a role of the Frobenius automorphism in an elementary way. We prove that equivariant intersection homology of an arbitrary toric variety is pure. We obtain results concerning Koszul duality: nonequivariant intersection cohomology is equal to the cohomology of the Koszul complexIH T*(X)⊗H*(T). We also describe the weight filtration inIH *(X).

Słowa kluczowe

EN

Toric varieties; equivariant intersection cohomology; weight filtration; 14M25; 14F43 (55N33); 32S35

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2004
• Tom: 2
• Numer: 3
• Strony: 478-492

Daty

wydano

2004-06-01

online

2004-06-01

Twórcy

autor

Andrzej Weber

• Uniwersytet Warszawski

Bibliografia

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Identyfikatory

DOI

10.2478/BF02475240