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Derived category of toric varieties with small Picard number

100%

Costa L., Miró-Roig R.

Open Mathematics

2012

tom 10

nr 4

1280-1291

This paper aims to construct a full strongly exceptional collection of line bundles in the derived category D b(X), where X is the blow up of ℙn−r ×ℙr along a multilinear subspace ℙn−r−1×ℙr−1 of codimension 2 of ℙn−r ×ℙr. As a main tool we use the splitting of the Frobenius direct image of line bundles on toric varieties.

Weights in the cohomology of toric varieties

75%

Weber A.

Open Mathematics

2004

tom 2

nr 3

478-492

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).

Ograniczanie wyników

2 Open Mathematics

1 Costa L.

1 Miró-Roig R.

1 Weber A.

1 2012

1 2004

Wyniki wyszukiwania

Derived category of toric varieties with small Picard number

Weights in the cohomology of toric varieties