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Andreas Leopold Knutsen's picture

Andreas Leopold Knutsen

Professor
  • E-mailAndreas.Knutsen@uib.no
  • Phone+47 55 58 49 31
  • Visitor Address
    Realfagbygget, Allégt. 41
  • Postal Address
    Postboks 7803
    5020 Bergen
Academic article
  • 2020. On the locus of Prym curves where the Prym-canonical map is not an embedding. Arkiv för matematik. 71-85 .
  • 2020. Moduli of curves on Enriques surfaces. Advances in Mathematics.
  • 2020. Global sections of twisted normal bundles of K3 surfaces and their hyperplane sections . Rendiconti Lincei - Matematica e Applicazioni. 57-79.
  • 2020. A note on Severi varieties of nodal curves on Enriques surfaces. Springer INdAM Series. 29-36.
  • 2019. Wall divisors and algebraically coisotropic subvarieties of irreducible holomorphic symplectic manifolds. Transactions of the American Mathematical Society. 1403-1438.
  • 2019. Severi Varieties and Brill-Noether theory of curves on abelian surfaces. Journal für die Reine und Angewandte Mathematik. 161-200.
  • 2019. Half Nikulin surfaces and moduli of Prym curves. Journal of the Institute of Mathematics of Jussieu. 1-38.
  • 2018. Degeneration of differentials and moduli of nodal curves on K3 surfaces. Contemporary Mathematics. 59-79.
  • 2017. Moduli of nodal curves on K3 surfaces. Advances in Mathematics. 624-654.
  • 2017. A note on deformations of regular embeddings. Rendiconti del circolo matematico di Palermo. 53-63.
  • 2017. A few questions about curves on surfaces. Rendiconti del circolo matematico di Palermo. 195-204.
  • 2015. Projective normality and the generation of the ideal of an Enriques surface. Advances in Geometry. 339-348.
  • 2015. Brill–Noether theory of curves on Enriques surfaces II: the Clifford index. Manuscripta mathematica. 193-237.
  • 2015. Appendix to "Generalized Lazarsfeld-Mukai bundles and a conjecture of Donagi and Morrison" by M. Lelli-Chiesa. Advances in Mathematics.
  • 2014. On the existence of curves with Ak-singularities on K3 surfaces. Mathematical Research Letters. 1069-1109.
  • 2014. On k-gonal loci in Severi varieties on general K3 surfaces and rational curves on hyperkähler manifolds. Journal des Mathématiques Pures et Appliquées. 473-494.
  • 2013. Smooth, isolated curves in families of Calabi-Yau threefolds in homogeneous spaces. Journal of the Korean Mathematical Society. 1033-1050.
  • 2013. Seshadri constants of K3 surfaces of degrees 6 and 8. International mathematics research notices. 4072-4084.
  • 2013. Negative curves on algebraic surfaces. Duke mathematical journal. 1877-1894.
  • 2012. On the proof of the genus bound for Enriques-Fano threefolds. Journal of the Ramanujan Mathematical Society. 375-395.
  • 2012. On the birationality of the adjunction mapping of projective varieties. Journal of the Ramanujan Mathematical Society. 51-58.
  • 2012. On isolated smooth curves of low genera in Calabi-Yau complete intersection threefolds. Transactions of the American Mathematical Society. 5243-5264.
  • 2012. Geometry of rays-positive manifolds. Collectanea Mathematica. 375-391.
  • 2011. On the extendability of projective surfaces and a genus bound for Enriques-Fano threefolds. Journal of differential geometry. 483-518.
  • 2009. On two conjectures for curves on K3 surfaces. International Journal of Mathematics. 1547-1560.
  • 2009. On secant spaces to Enriques surfaces. Bulletin of the Belgian Mathematical Society Simon Stevin. 907-931.
  • 2009. On families of rational curves in the Hilbert square of a surface (with an appendix by E. Sernesi). The Michigan mathematical journal. 639 -682.
  • 2009. Moving curves and seshadri constants. Mathematical Research Letters. 711-719.
  • 2009. Brill-Noether theory of curves on Enriques surfaces I: the positive cone and gonality. Mathematische Zeitschrift. 659-690.
  • 2009. A primer on Seshadri constants. Contemporary Mathematics. 33-70.
  • 2008. Remarks on families of singular curves with hyperellipticnormalizations. Indagationes mathematicae. 217-238.
  • 2008. Nodal Curves with General Moduli on K3 Surfaces. Communications in Algebra. 3955-3971.
  • 2008. A Note on Seshadri constants on general K3 surfaces. Comptes rendus. Mathematique. 1079-1081.
  • 2007. Singular curves on a K3 surface and linear series on their normalizations. International Journal of Mathematics. 671-693.
  • 2007. On the surjectivity of Gaussian maps for curves on Enriques surfaces. Advances in Geometry. 215-247.
  • 2007. A sharp vanishing theorem for line bundles on K3 or Enriques surfaces. Proceedings of the American Mathematical Society. 3495-3498.
  • 2006. On varieties that are uniruled by lines. Compositio Mathematica. 889-906.
  • 2003. Rational curves in Calabi-Yau threefolds. Communications in Algebra. 3917-3953.
  • 2003. Higher order birational embeddings of Del Pezzo surfaces. Mathematische Nachrichten. 183-196.
  • 2003. Gonality and Clifford index of curves on $K3$ surfaces. Archiv der Mathematik. 235-238.
  • 2003. Exceptional curves on Del Pezzo surfaces. Mathematische Nachrichten. 58-81.
  • 2002. Smooth curves on projective K3 surfaces. Mathematica Scandinavica. 215-231.
  • 2001. On $k$th-order embeddings of $K3$ surfaces and Enriques surfaces. Manuscripta mathematica. 211-237.
Academic monograph
  • 2004. $K3$ projective models in scrolls.
Non-fiction book
  • 2011. Combinatorial aspects of commutative algebra and algebraic geometry. Proceedings of the Abel Symposium held in Voss, June 1–4, 2009. Springer.
Academic chapter/article/Conference paper
  • 2012. Recent developments and open problems in linear series. 48 pages.
Errata
  • 2017. Erratum to: A note on deformations of regular embeddings (Rend. Circ. Mat. Palermo, II. Ser, 10.1007/s12215-016-0276-4). Rendiconti del circolo matematico di Palermo. 65-67.
  • 2017. Corrigendum to "On k-gonal loci in Severi varieties on general K3 surfaces and rational curves on hyperkahler manifolds" [J. Math. Pures Appl. 101 (4) (2014) 473-494] (S0021782413000962)(10.1016/j.matpur.2013.06.010). Journal des Mathématiques Pures et Appliquées. 665-666.

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