# 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} }

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.

## 3 Citations

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

- Mathematics
- 2014

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

- MathematicsInventiones mathematicae
- 2016

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

- MathematicsAlgebraic Geometry
- 2020

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…

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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…

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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…