# Derived category of toric varieties with small Picard number

Open Mathematics (2012)

- Volume: 10, Issue: 4, page 1280-1291
- ISSN: 2391-5455

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topLaura Costa, and Rosa Miró-Roig. "Derived category of toric varieties with small Picard number." Open Mathematics 10.4 (2012): 1280-1291. <http://eudml.org/doc/269319>.

@article{LauraCosta2012,

abstract = {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.},

author = {Laura Costa, Rosa Miró-Roig},

journal = {Open Mathematics},

keywords = {Derived categories; Toric varieties; Full strongly exceptional collections; full strongly exceptional collections; toric varieties; blow-up; derived category},

language = {eng},

number = {4},

pages = {1280-1291},

title = {Derived category of toric varieties with small Picard number},

url = {http://eudml.org/doc/269319},

volume = {10},

year = {2012},

}

TY - JOUR

AU - Laura Costa

AU - Rosa Miró-Roig

TI - Derived category of toric varieties with small Picard number

JO - Open Mathematics

PY - 2012

VL - 10

IS - 4

SP - 1280

EP - 1291

AB - 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.

LA - eng

KW - Derived categories; Toric varieties; Full strongly exceptional collections; full strongly exceptional collections; toric varieties; blow-up; derived category

UR - http://eudml.org/doc/269319

ER -

## References

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