• Corpus ID: 118914065

The genus of projective curves on complete intersection surfaces

@article{Tramel2014TheGO,
  title={The genus of projective curves on complete intersection surfaces},
  author={Rebecca Tramel},
  journal={arXiv: Algebraic Geometry},
  year={2014}
}
  • R. Tramel
  • Published 15 August 2014
  • Mathematics
  • arXiv: Algebraic Geometry
We bound the genus of a projective curve lying on a complete intersection surface in terms of its degree and the degrees of the defining equations of the surface on which it lies. 

The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds

We describe a connected component of the space of stability conditions on abelian threefolds, and on Calabi-Yau threefolds obtained as (the crepant resolution of) a finite quotient of an abelian

The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds

We describe a connected component of the space of stability conditions on abelian threefolds, and on Calabi-Yau threefolds obtained as (the crepant resolution of) a finite quotient of an abelian

Derived categories and the genus of space curves

We generalize a classical result about the genus of curves in projective space by Gruson and Peskine to principally polarized abelian threefolds of Picard rank one. The proof is based on

References

SHOWING 1-10 OF 13 REFERENCES

A generalized Bogomolov–Gieseker inequality for the smooth quadric threefold

We prove a generalized Bogomolov–Gieseker inequality as conjectured by Bayer, Macrì and Toda for the smooth quadric threefold. This implies the existence of a family of Bridgeland stability

A generalized Bogomolov–Gieseker inequality for the three-dimensional projective space

A generalized Bogomolov–Gieseker inequality for tilt-stable complexes on a smooth projective threefold was conjectured by Bayer, Toda, and the author. We show that such inequality holds true in

Multigraded Hilbert schemes

We introduce the multigraded Hilbert scheme, which parametrizes all homogeneous ideals with fixed Hilbert function in a polynomial ring that is graded by any abelian group. Our construction is widely

Hierarchical structure of the family of curves with maximal genus verifying flag conditions

Fix integers r,s 1 ,..., s l such that 1 ≤ l < r - 1 and s l ≥ r-l+1, and let C(r; s 1 ,..., s l ) be the set of all integral, projective and nondegenerate curves C of degree s 1 in the projective

Bridgeland stability conditions on threefolds I: Bogomolov-Gieseker type inequalities

We construct new t-structures on the derived category of coherent sheaves on smooth projective threefolds. We conjecture that they give Bridgeland stability conditions near the large volume limit. We

Fourier-Mukai Transforms and Bridgeland Stability Conditions on Abelian Threefolds

We show that the construction of Bayer, Bertram, Macri and Toda gives rise to a Bridgeland stability condition on a principally polarized abelian threefold with Picard rank one by establishing their

Curves in projective space

CURVES IN PROJECTIVE SPACE Ali Yıldız M.S. in Mathematics Supervisor: Assoc. Prof. Dr. Ali Sinan Sertöz July, 2003 This thesis is mainly concerned with classification of nonsingular projective space

The genus of space curves

SuntoSi dimostra che seC⊃ℙk3 (k di caratteristica qualunque) é una curva, non piana, localmente Cohen-Macaulay, di gradod, allorapa (C)≤((d−2)(d−3))/2. Si mostra che questa limitazione è ottimale, e

The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds

We describe a connected component of the space of stability conditions on abelian threefolds, and on Calabi-Yau threefolds obtained as (the crepant resolution of) a finite quotient of an abelian

The genus of projective curves