Enrico Fatighenti
Università di Bologna, Dipartimento di Matematica, Piazza di Porta San Donato 5, 40126 Bologna, Italy.
e-mail: enricofatighenti6 [at]gmail[dot]com or enrico.fatighenti [at] unibo [dot] it
News:
Where I'll be: Roma. Upcoming trips.
The data from Fano 3-folds from homogeneous vector bundles over Grassmannians can now be visualized here. (Thanks to Pieter Belmans!)
About:
I am a senior researcher (RTD-B) at Università di Bologna.
Previously I was a researcher (RTD-A) at Sapienza Università di Roma, a postdoc at IMT Toulouse, at Loughborough University, and at Università Roma 3. Even before, I got my PhD in 2017 at the University of Warwick, with Miles Reid as advisor. Broadly speaking I am a Hodge theorist: you can find below an (almost) detailed list of my research interests. For a more detailed CV click here.
Research interests:
Fano manifolds of K3 and Calabi-Yau type and link with hyperkähler geometry. Explicit constructions of varieties in homogenous varieties and their Hodge theory.
Explicit construction of surfaces of general type with small pg,K2 and Calabi-Yau quotients in low dimension
Fano and Calabi-Yau varieties in Weighted Projective Spaces. Explicit birational classification, especially of Q -Fano threefolds.
Preprints, publications, surveys, etc:
Examples of non-rigid, modular vector bundles on hyperkähler manifolds. [arXiv:2302.09025]
Topics on Fano varieties of K3 type, to appear in Proceedings of Nottingham Algebraic Geometry Seminar. [arXiv:2206.06204]
Hilbert squares of degeneracy loci, with Francesco Meazzini, Giovanni Mongardi and Andrea Ricolfi, Rendiconti del Circolo Matematico di Palermo Series 2, in press [arXiv:2204.00437,journal]
Fano fourfolds of K3 type, with Marcello Bernardara, Laurent Manivel and Fabio Tanturri [arXiv:2111.13030]
The generalized roof F(1,2,n): Hodge structures and derived categories, with Michał Kapustka, Giovanni Mongardi and Marco Rampazzo, Algebras and Representation theory, in press [arXiv:2110.10475, journal]
Polyvector fields for Fano 3-folds, with Pieter Belmans and Fabio Tanturri, [arXiv:2104.07626]
Fano 3-folds from homogeneous vector bundles over Grassmannians, with Lorenzo De Biase and Fabio Tanturri, Revista Matemática Complutense, 35, 649-710 (2022). [arXiv:2009.13382, journal] [Fanography/BigTable]
A journey from the octonionic P^2 to a fake P^2, with Lev Borisov and Anders Buch, Proc. Am. Math. Soc., Volume 150, Number 4, April 2022, Pages 1467–1475.[arXiv:2008.09731, journal]
New explicit constructions of surfaces of general type, with Lev Borisov, [arXiv:2004.02637]
Nested varieties of K3 type, with Marcello Bernardara and Laurent Manivel, Journal de l'École polytechnique-Mathématiques (JEP), Tome 8 (2021) , pp. 733-778.[arXiv:1912.03144, journal]
Fano varieties of K3 type and IHS manifolds, with Giovanni Mongardi, Int. Math. Res. Not. (IMRN), Volume 2021, Issue 4, February 2021, Pages 3097–3142 [arXiv:1904.05679, journal]
Surfaces of general type with p_g=1, q=0, K^2=6 and Grassmannians, Math. Nachr. 293 (2020), no. 1 , Pages 88-100 [arXiv:1802.04643,journal]
A note on a Griffiths-type ring for complete intersections in Grassmannians, with Giovanni Mongardi, Math. Z. 299, 1651–1672 (2021). [arXiv:1801.09586, journal]
Hodge numbers and deformations of Fano 3-folds, with Gavin Brown, Documenta Mathematica 25, 267-307 (2020) [arXiv:1707.00653, journal]
Weighted Fano varieties and infinitesimal Torelli problem, with Luca Rizzi and Francesco Zucconi, Journal of Geometry and Physics, Volume 139, May 2019, Pages 1-16. [arXiv:1611.05355, journal]
Hodge Theory and deformations of affine cones of subcanonical projective varieties, with Carmelo Di Natale and Domenico Fiorenza, J. London Math. Soc., 96 (3): 524–544 (2017). [arXiv:1512.00835, journal]
Useful links:
Seminario di Algebra&Geometria (Bologna), Seminario di Algebra&Geometria (Sapienza).
Online AG seminars I (try to) follow: Derived, Nottingham, ZAG, Mathseminars.
Recorded online seminars: ZAG (06/21), Nottingham (11/20), Simons Conference (09/20).
Databases: grdb, fanography, fanosearch, superficie, grassmannian.
ANR FanoHK, Abram Gannibal, COW, CALF EmSG, GAeL, GLEN, BrAG,3CinG, Warwick.
arXiv, researchgate, mathoverflow, mathgenealogy, scopus, orcid .
Giap, w.a.s.t.e., km497.