38 citations · 38 across the 3 of their papers we have counts for
6 papers · 1 filter
A correction to: Rational and nearly rational varieties
János Kollár, Karen E. Smith, Alessio Corti
We correct a misattribution in our book.
Birational Geometry of 3-fold Mori Fibre Spaces
Gavin Brown, Alessio Corti, Francesco Zucconi
We study the geography and birational geometry of 3-fold conic bundles over P^2 and cubic del Pezzo fibrations over P^1. We discuss many explicit examples and raise several open qu…
Weighted Grassmannians
Alessio Corti, Miles Reid
Many classes of projective algebraic varieties can be studied in terms of graded rings. Gorenstein graded rings in small codimension have been studied recently from an algebraic po…
Twisted bundles and admissible covers
Dan Abramovich, Alessio Corti, Angelo Vistoli
The cherry on top of this stacky paper is the following: for any g>1 we give a finite group G such that the moduli space of connected admissible G-covers of genus g is a smooth, fi…
Birational geometry of terminal quartic 3-folds. I
A. Corti, M. Mella
This is the unabridged web version of the paper that will be published on the American Journal of Mathematics. In this paper, we study the birational geometry of certain examples o…
Motivic Decomposition and Intersection Chow Groups I
A. Corti, M. Hanamura
For a quasiprojective variety S, we define a category CHM(S) of pure Chow motives over S. Assuming conjectures of Grothendieck and Murre, we show that the decomposition theorem hol…