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math.AG2021

Z/rZ-equivariant covers of P^1 with moving ramification

Carl Lian, Riccardo Moschetti

Let X -> P^1 be a general cyclic cover. We give a simple formula for the number of equivariant meromorphic functions on X subject to ramification conditions at variable points. Thi…

math.AG2020

Hyperelliptic odd coverings

Riccardo Moschetti, Gian Pietro Pirola

We investigate a class of odd (ramification) coverings where is hyperelliptic, its Weierstrass points maps to one fixed point of and the cov…

math.AG2020

Monodromy of projections of hypersurfaces

Maria Gioia Cifani, Alice Cuzzucoli, Riccardo Moschetti

Let be an irreducible, reduced complex projective hypersurface of degree . A point not contained in is called uniform if the monodromy group of the projection of

math.AG2019

Alternating Catalan numbers and curves with triple ramification

Gavril Farkas, Riccardo Moschetti, Juan Carlos Naranjo +1

It is known that the monodromy group of each cover of a general curve of genus g>3 equals either the symmetric or the alternating group. The classical Catalan numbers count the min…

math.AG2018

Semiorthogonal Decompositions on Enriques Surfaces and Derived Torelli Theorem

Riccardo Moschetti, Giorgio Scattareggia, Sofia Tirabassi

We show that the general Enriques surface can be recovered from the Kuznetsov component of its bounded derived category of coherent sheaves.

math.AG2018

A descent criterion for equivalences between equivariant derived categories

Francesco Amodeo, Riccardo Moschetti, Mattia Ornaghi

We investigate equivalences between the categories of perfects complexes of the quotients of two smooth projective schemes by the action of a finite group. As a result we give a ne…