Submitted

Published papers

Author(s)	Title	e-print	Issue of the Journal		Related files	Digital Object Identifier
Federico Fallucca	On the classification of product-quotient surfaces with \(q=0\), \(p_g=3\) and their canonical map	math/2405.04425	Rend. Lincei (9) Mat. Appl., , online first, (2024)		MAGMA scripts and a database of product-quotient surfaces with \(\chi=4\)
Federico Fallucca Roberto Pignatelli	Smooth k-double covers of the plane of geometric genus 3	math/2305.04545	Rend. Mat. Appl. (7), , 45, 153-180, (2024)
Federico Fallucca	Examples of surfaces with canonical maps of degree 12, 13, 15, 16 and 18	math/2209.06057	Ann. Mat. Pura Appl. (4), 203 (3), 1015 - 1024, (2023)			10.1007/s10231-023-01363-6
Federico Fallucca Roberto Pignatelli	Some surfaces with canonical map of degree 4	math/2107.07966	Portugaliae Math., 80, 391-400, (2023)			10.4171/PM/2106
Federico Fallucca Christian Gleissner	Some surfaces with canonical maps of degree 10, 11 and 14	math/2207.02969	Math. Nachr., 296 (11), 5063-5069, (2023)			10.1002/mana.202200450

PhD Thesis.

Here you find an abstract of the thesis: Abstract.

Here you find the thesis: On the degree of the canonical map of surfaces of general type.

We have produced a MAGMA code which gives in input a pair of natural numbers \(K^2\) and \(\chi\) and returns all regular surfaces \(S\) of general type with \(K^2_S=K^2\) and \(\chi(\mathcal O_S)=\chi\), which are Product-Quotient surfaces: https://github.com/Fefe9696/PQ_Surfaces_with_fixed_Ksquare_chi.

Our MAGMA code uses a database of topological types of holomorphic actions of a finite group \(G\) on a compact Riemann surface \(S\) of genus \(g \geq 2\) with \(S/G \cong \mathbb P^1\): TipiTopo.

The MAGMA code to produce the database of topological types of Galois covers of the projective line is available at: gullinbursti.