19 citations · 27 across the 6 of their papers we have counts for
9 papers
Blowups, Gale duality, and moduli spaces
Carolina Araujo, Ana-Maria Castravet, Inder Kaur +1
The goal of this paper is to describe the birational geometry of the blowup of at points in very general position. To achieve this, we follow an idea of Mukai…
The desingularization of the theta divisor of a cubic threefold as a moduli space
Arend Bayer, Sjoerd Beentjes, Soheyla Feyzbakhsh +4
We show that the moduli space of Gieseker stable sheaves on a smooth cubic threefold with Chern character is smooth and of dimensi…
A remark on rationally connected varieties and Mori dream spaces
Claudio Fontanari, Diletta Martinelli
In this short note, we show that a construction by Ottem provides an example of a rationally connected variety that is not birationally equivalent to a Mori dream space. This answe…
Effective bounds for the number of MMP-series of a smooth threefold
Diletta Martinelli
We prove that the number of MMP-series of a smooth projective threefold of positive Kodaira dimension and of Picard number equal to three is at most two.
On the number and boundedness of log minimal models of general type
Diletta Martinelli, Stefan Schreieder, Luca Tasin
We show that the number of marked minimal models of an n-dimensional smooth complex projective variety of general type can be bounded in terms of its volume, and, if n=3, also in t…
Rational curves on fibered Calabi-Yau manifolds
Simone Diverio, Claudio Fontanari, Diletta Martinelli
We show that a smooth projective complex manifold of dimension greater than two endowed with an elliptic fiber space structure and with finite fundamental group always contains a r…
Why should a birational geometer care about Bridgeland stability conditions?
Claudio Fontanari, Diletta Martinelli
In this survey we borrow from Coskun and Huizenga an example of application of Bridgeland stability conditions to birational geometry and we rephrase it without assuming any previo…
Connectedness Bertini Theorem via numerical equivalence
Diletta Martinelli, Juan Carlos Naranjo, Gian Pietro Pirola
Let be an irreducible projective variety and a morphism . We give a new proof of the fact that the preimage of any linear variety of dimension $…
On base point free theorem for log canonical threefolds over the algebraic closure of a finite field
Diletta Martinelli, Yusuke Nakamura, Jakub Witaszek
We prove the base point free theorem for big line bundles on a three-dimensional log canonical projective pair defined over the algebraic closure of a finite field.