Tommaso de Fernex

TOMMASO DE FERNEX

Associate Professor - University of Utah

PUBLICATIONS

The dual complex of singularities (with J. Kollár and C. Xu) submitted	arxiv
Birational geometry of singular Fano hypersurfaces submitted	arxiv
Three-dimensional counter-examples to the Nash problem Compositio Math., to appear	arxiv
Birationally rigid hypersurfaces Invent. Math., to appear	journal arxiv
Rationality in families of threefolds (with D. Fusi) Rend. Circ. Mat. Palermo, to appear	arxiv
Jacobian discrepancies and rational singularities (with R. Docampo) J. Eur. Math. Soc., to appear	arxiv
The volume of an isolated singularity (with S. Boucksom and C. Favre) Duke Math. J. 161 (2012), 1455-1520	journal arxiv
Rigidity properties of Fano varieties (with C. Hacon) in Current Developments in Algebraic Geometry, MSRI Publications, Volume 59, 2011	journal arxiv
Deformations of canonical pairs and Fano varieties (with C. Hacon) J. reine angew. Math. 651 (2011), 97-126	journal arxiv
Log canonical thresholds on varieties with bounded singularities (with L. Ein and M. Mustata) in "Classification of algebraic varieties-Schiermonnikoog 2009" C. Faber, G. van der Geer, E. Looijenga editors, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2011	journal arxiv
Shokurov's ACC Conjecture for log canonical thresholds on smooth varieties (with L. Ein and M. Mustata) Duke Math. J. 152 (2010), 93-114	journal arxiv
A vanishing theorem for log canonical pairs (with L. Ein) Amer. J. Math. 132 (2010), 1205-1221	journal arxiv
Singularities on normal varieties (with C. Hacon) Compositio Math. 145 (2009), 393-414	journal arxiv
Limits of log canonical thresholds (with M. Mustata) Ann. Sci. École Norm. Sup. 42 (2009), 493-517	journal arxiv
Ample subvarieties and rationally connected fibrations (with M. Beltrametti and A. Lanteri) Math. Ann. 341 (2008), 897-926	journal arxiv
Divisorial valuations via arcs (with L. Ein and S. Ishii) Publ. Res. Inst. Math. Sci. 44 (2008), 425-448, special issue dedicated to Professor H. Hironaka	journal arxiv
Higher cohomology of divisors on a projective variety (with A. Kuronya and R. Lazarsfeld) Math. Ann. 337 (2007), 443-455	journal arxiv
Stringy Chern classes of singular varieties (with E. Lupercio, T. Nevins and B. Uribe) Adv. Math. 208 (2007), 597-621	journal arxiv
A localization principle for orbifold theories (with E. Lupercio, T. Nevins and B. Uribe) in "Recent Developments in Algebraic Topology", A. Adem et al. eds., Proceedings for the Conference in honor of the 70th birthday of S. Gitler, 113-133. Contemp. Math. 407, Amer. Math. Soc., Providence, RI, 2006	arxiv
Length, multiplicity, and multiplier ideals Trans. Amer. Math. Soc. 358 (2006), 3717-3731	journal arxiv
Bad loci of free linear systems (with A. Lanteri) Adv. Geom. 6 (2006), 93-107	journal arxiv
Negative curves on very general blow-ups of P^2 in "Projective Varieties with Unexpected Properties", M. Beltrametti et al. eds., A Volume in Memory of Giuseppe Veronese, 199-207, de Gruyter, Berlin, 2005	journal arxiv
Multiplicities and log canonical threshold (with L. Ein and M. Mustata) J. Algebraic Geom. 13 (2004), 603-615	journal arxiv
On planar Cremona maps of prime order Nagoya Math. J. 174 (2004), 1-28	journal arxiv
Bounds on log canonical thresholds with application to birational rigidity (with L. Ein and M. Mustata) Math. Res. Lett. 10 (2003), 219-236	journal arxiv
Resolution of indeterminacy of pairs (with L. Ein) in "Algebraic Geometry", M. Beltrametti et al. eds., A Volume in Memory of Paolo Francia, 165-177, de Gruyter, Berlin, 2002	journal
Ample vector bundles and intrinsic quadric fibrations over irrational curves Matematiche (Catania) 55 (2000), 205-222	journal
Ample vector bundles and del Pezzo manifolds (with A. Lanteri) Kodai Math. J. 22 (1999), 85-100	journal
Ample vector bundles with sections vanishing along conic fibrations over curves Collect. Math. 49 (1998), 67-79	journal

OTHER WRITINGS

Vanishing theorems and multiplier ideals in algebraic geometry (with L. Ein and M. Mustata) monograpgh in preparation
On the Mori cone of blow-ups of the plane unpublished	arxiv
Lectures on relative motivic integration, MacPherson's transformation, and stringy Chern classes lectures held during the VIGRE Mini-Course on Arc Spaces and Motivic Integration, University of Utah, May 2005

research partially suppported by the National Science Foundation