Research

RESEARCH PAPERS

1. V. Lozovanu, "Multiplicities of irreducible theta divisors", preprint, arXiv:2002.04360 (2020).

2. V. Lozovanu, "Seshadri constants of indecomposable polarized abelian varieties", preprint, arXiv:2002.04314 (2020).

3. V. Lozovanu, "Singular divisors and syzygies of abelian threefolds", preprint, arXiv:1803.08780 (2018).

4. D. Agostini, A. Kuronya and V. Lozovanu, "Higher syzygies on surfaces with numerically trivial canonical bundle", Mathematische Zeitschrift, 293 (2019), no. 5, pp. 1071--1084, arXiv:1703.10203 (2017).

5. A. Kuronya and V. Lozovanu, "Geometric aspects of Newton--Okounkov bodies", Phenomenological approach to algebraic geometry, 137–212, Banach Center Publ., 116, Polish Acad. Sci. Inst. Math., Warsaw, 2018, arXiv:1703.09980 , (2017).

6. C. Ciliberto, M.Farnik, A. Kuronya, V. Lozovanu, J. Roe and C. Shramov, "Newton-Okounkov bodies sprouting on the valuative tree", Rend. Circ. Mat. Palermo, II. Ser (2016)., arXiv:1602.02074, (2016).

7. C. Ciliberto, A. L. Knutsen, J. Lesieutre, V. Lozovanu, R. Miranda, Y. Mustopa, and D. Testa, "A few questions about curves on surfaces", Rend. Circ. Mat. Palermo, II. Ser (2016)., arXiv:1511.06618, (2015).

8. A. Kuronya and V. Lozovanu, "A Reider-type theorem for higher syzygies on abelian surfaces", Algebraic Geometry, 6 (2019), no. 5, pp. 548--570, arXiv:1509.08621, (2015).

9. A. Kuronya and V. Lozovanu, "Infinitesimal Newton-Okounkov bodies and jet separation", Duke Mathematical Journal, 166 (2017), no. 7, pp. 1349--1376 arXiv:1507.04339 (2015).

10. A. Kuronya and V. Lozovanu, "Positivity of line bundles and Newton-Okounkov bodies", Documenta Math., 22 (2017), pp. 1285--1302, arXiv:1506.06525 .

11. A. Kuronya and V. Lozovanu, "Local positivity of linear series on surfaces", Algebra & Number Theory, 12 (2018), no. 1, pp. 1--34, arXiv:1411.6205 (2014).

12. V. Lozovanu and Greg G. Smith, "Vanishing theorems and the multigraded regularity of nonsingular subvarieties", arXiv:1208.0484, (2012).

13. D. Anderson, A. Kuronya and V. Lozovanu, "Okounkov bodies of finitely generated divisors", Int. Math. Res. Not., 132 (2014), no. 5, pp. 1205--1221, arXiv:1206.2499 (2012).

14. A. Kuronya, C. Maclean and V. Lozovanu, "Volume functions of linear series", Math. Ann., 356 (2013), no. 2, pp. 635-652, arXiv:1008.3986 (2010).

15. A. Kuronya, C. Maclean and V. Lozovanu, "Convex bodies appearing as Okounkov bodies of divisors", Advances in Mathematics, 229 (2012), no. 5, pp. 2622-2639, arXiv:1008.4431 (2010).

16. V. Lozovanu, "Regularity of smooth curves in biprojective spaces", Journal of Algebra, 322 (2009), no. 7, pp. 2355-2365, arXiv:0811.2407 (2008).