Derived category of toric varieties with small Picard number

Laura Costa; Rosa Miró-Roig

Open Mathematics (2012)

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

Abstract

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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.

How to cite

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Laura 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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