Pubblicazioni - Papers

Pubblicazioni - Research Papers

1. On the multiples of the adjoint divisor to an ample divisor on a d-fold, Annali dell’Università di Ferrara - Sez. VII - Sc. Mat. Vol. XXXV (1989), 125-133; pdf.

2.  (con M. Bartolini, G.M. Besana, A. Buraggina, M.A. de Cataldo, R. Paoletti, E. Rogora) Projective varieties, linear systems and vector bundles. Notes of courses given by L.Ein, Ph.Ellia and F.Zak, Aracne Editrice, Roma (1994).

3. Congetture Generalizzata ed Infinitesimale di Hodge per alcune famiglie di varietà di tipo generale, in “Giornate di Geometria Algebrica II - Estratti”, F.lli Brandolini Ed. (1994), Chieti Scalo.

4. Congetture Generalizzata ed Infinitesimale di Hodge per alcune famiglie di varietà di tipo generale, Tesi per il conseguimento del titolo di Dottore di Ricerca - Dottorato di Ricerca in Matematica dell’Università degli Studi di Firenze, V ciclo  (1994); pdf.

5. The infinitesimal and generalized Hodge Conjecture for some families of sextic threefolds, Manuscripta Mathematica 89 (1996), 511 - 544; pdf.

6. L’evoluzione delle Congetture di Hodge, Bollettino U.M.I. (7) 11-A (1997), 57 - 9; pdf. 

7.  Hodge theory on some invariant threefolds of even degree, Indag. Mathem., N.S., 8 (2) (1997), 267 - 279; pdf.

8. Hodge theory on cyclotomic threefolds (with a view towards the higher dimensional case), Ann. Mat. pura ed appl. (IV), Vol. CLXXV (1998), 173 - 193; pdf.

9. The Grothendieck-Hodge conjecture for the general quintic threefold with automorfisms, Quaderno Scientifico del Dipartimento di Matematica dell’Università degli Studi di Torino n. 33/1996  pdf.

10.  (con A. Grassi) Large N dualities and transitions in geometry in “Geometry and physics of branes” (Como, 2001), 210--278, Ser. High Energy Phys. Cosmol. Gravit., IOP, Bristol, 2003; arXiv:math/0209044.

11. (con L.Zaninetti) The cubic period-distance relation for the Kater reversibile pendulum,  CEJP 3 (4) (2005),  636–659

12.  Geometric transitions  J. Geom. Phys. 56 (9) (2006), 1940 – 1983; arXiv:math/0412514.

13.  (con L.Zaninetti) Linear and Non Linear Effects on the Newtonian Gravitational Constant as deduced from the Torsion Balance, International Journal of Modern Physics A,  29  (2007), 5391 – 5400; DOI: 10.1142/S0217751X07037329 ; arXiv[physics.calss-ph]:0801.0681.

14. Homological type of Geometric Transitions,  Geom. Dedicata 151 (2011), 323--359; DOI: 10.1007/s10711-010-9537-0; arXiv:1001.0457

15.  (con L. Terracini)  Linear algebra and toric data of weighted projective spaces. Rend. Semin. Mat. Univ. Politec. Torino 70 (2012), no. 4, 469–495; extended version: Weighted projective spaces from the toric point of view with  computational applications, arXiv:1112.1677

16. Deforming geometric transitions. Int. J. Geom. Methods Mod. Phys. 12 (2015), no. 5, 1550059, 25 pp.; arXiv:1304.1695

17. (con L. Terracini)  MAPLE subroutines for computing Milnor and Tyurina numbers of hypersurface singularities with application to Arnol'd adjacencies, Rend. Semin. Mat. Univ. Politec. Torino 73 (2015), no. 3-4, 269–316; extended version: arXiv:0809.4345v2

18. (con L. Terracini)  Z-linear Gale duality and poly weighted spaces (PWS) Linear Algebra and Its Applications 495 (2016), pp. 256-288; DOI:10.1016/j.laa.2016.01.039; arXiv:1501.05244

19. (con L. Terracini)  A Q-factorial complete toric variety is a quotient of a poly weighted space, Annali di Matematica Pura e Applicata 196 (2017), pp. 325-347; DOI:10.1007/s10231-016-0574-7 ;  arXiv:1502.00879;

20. A small and non-simple geometric transition, Math. Phys. Anal. Geom 20 (2017) 15, 26 pp.; DOI: 10.1007/s11040-017-9247-z ; arXiv:1211.6329

21. (con L. Terracini)  A numerical ampleness criterion via Gale duality, AAECC 28 (2017), pp. 351-368; DOI:10.1007/s00200-016-0308-5 ; arXiv:1504.07014 

22. (con L. Terracini) Erratum to: A Q-factorial complete toric variety is a quotient of a poly weighted space, Annali di Matematica Pura e Applicata  197 (2018), pp. 989-998; DOI 10.1007/s10231-017-0698-4;  arXiv:1502.00879;

23. (con L. Terracini)  A Q-factorial complete toric variety with Picard number 2 is projective; Journal of Pure and Applied Algebra 222 (2018), pp.2648-2656; DOI:10.1016/j.jpaa.2017.10.012 arXiv:1504.03850

24. (con L. Terracini)  A Batyrev-type classification of Q-factorial projective toric varieties; Advances in Geometry 19 (2019), pp. 433-476; DOI:10.1515/advgeom-2018-0007; arXiv:1504.06515 

25. Embedding non-projective Mori Dream Spaces, Geometriae Dedicata 207(2020), 355-393; DOI: 10.1007/s10711-019-00503-8; arXiv:1809.02695

26. (con L.Terracini) Fibration and classification of smooth projective toric varieties of low Picard number, International Journal of Mathematics 31 (2020), 20500433 ; DOI: 10.1142/S0129167X20500433; arXiv:1507.00493

27. (con L.Terracini) Toric varieties and Groebner bases: the complete Q-factorial case,  AAECC 31 (2020), 461-482; DOI: 10.1007/s00200-020-00452-w; arXiv:2004.05092

28. (con L.Terracini) Embedding the Picard group inside the Class group: the case of Q-factorial complete toric varieties,  Journal of Algebraic Combinatorics 53 (2021) 553-573; DOI: 10.1007/s10801-021-01025-x ;arXiv:1803.01612

29.  An extension of polar duality of toric varieties and its consequences in Mirror Symmetry, Advances in Theoretical and Mathematical Physics 26 (2022), 1449-1541; arXiv:2003.08700

30. (con A. Alzati e C. Turrini) La geometria dell’Apparecchio per la Ricerca di Travolti in Valanga (A.R.T.Va), Matematica, Cultura e Sociatà - Rivista U.M.I. Serie I, 7 (2022), pp. 53-68..  

31.  Framed duality and mirror symmetry for toric complete intersections,  Journal of Geometry and Physics 188 (2023), arXiv:2102.01152

Programmi - Routines

1. Milnor and Tyurina Numbers,   http://www.maplesoft.com/applications/view.aspx?SID=19341

2. Computational procedures for weighted projective spaces,   http://www.maplesoft.com/applications/view.aspx?SID=127621

Preprints

1. (con L. Terracini)  Computational procedures for weighted projective spaces (this is a pdf print of the homonymous MAPLE file)    arXiv:1112.1673v2   

2. 'Etale coverings in codimension 1 with application to Mori Dream Spaces, arXiv:1902.04784

3. Non-calibrated framed processes, derived equivalence and Homological Mirror Symmetry,  arXiv:2304.01856

4.  Riflessioni analitiche sulla forza d'arresto per corde e cordini;  pdf