Emeritus Professor Peter Newstead

 

Publications since 1995

(with L. Brambila-Paz) Subvariedades del espacio moduli, Aportaciones Matematicas, Serie Comunicaciones 16 (1995), 43-53.

(with A. D. King) Moduli of Brill-Noether pairs on algebraic curves, Internat. J. Math. 6 (1995), no.5, 733-748.

(with V. Balaji and A. D. King) Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve, Topology 36 (1997), no.2, 567-577.

(with A. D. King) On the cohomology ring of the moduli space of rank 2 vector bundles on a curve, Topology 37 (1998), no.2, 407-418.

(with V. Balaji and L. Brambila-Paz) Stability of the Poincaré bundle, Math. Nachrichten 188 (1997), 5-15.

(with L. Brambila-Paz and I. Grzegorczyk) Geography of Brill-Noether loci for small slopes, J. Alg. Geom. 6 (1997), no.4, 645-669.

(with E. Ballico) On Clifford's Theorem for vector bundles on algebraic curves, Comm. in Algebra 29 (2001), 3223-3237.

(with L. Brambila-Paz, V. Mercat and F. Ongay) Nonemptiness of Brill-Noether loci, Internat. J. Math. 11 (2000), no.6, 737-760.

(with I. Biswas, L. Brambila-Paz and T. L. Gomez) Stability of the Picard Bundle, Bull. London Math. Soc. 34 (2002), 561-568.

(with S. B. Bradlow, O. Garcia-Prada and V. Munoz) Coherent systems and Brill-Noether theory, Internat. J. Math. 14 (2003), no.7, 683-733.

(with H. Lange) Maximal subbundles and Gromov-Witten invariants, in A Tribute to C. S. Seshadri, edited by V. Lakshmibai and others, Hindustan Book Agency, 2003 and Birkhauser Verlag, 2003.

(with H. Lange) Coherent systems of genus 0, Internat. J. Math. 15 (2004), no.4, 409-424.

(with H. Lange) Coherent systems on elliptic curves, Internat. J. Math. 16 (2005), no.7, 787-805.

(with H. Lange) On Poincare bundles of vector bundles on curves, Manuscripta Math. 117 (2005), 173-181, doi:10.1007/s00229-005-0553-6.

(with I. Biswas and L. Brambila-Paz) Deformations of the generalised Picard bundle, Topology 45 (2006), 403-419, doi:10.1016/j.top.2005.08.004.

(with H. Lange) On Clifford's Theorem for rank-3 bundles, Revista Mat. Iberoamericana 22 (2006), no.1, 287-304.

(with V. Balaji, I. Biswas and D. S. Nagaraj) Universal families on moduli spaces of principal bundles on curves, IMRN 2006, no.2, Article ID 80641, 16pp.

(with H. Lange) Coherent systems of genus 0 II: Existence results for k\ge3, Internat. J. Math. 18 (2007), no.4, 363--393, doi:10.1142/S0129167X07004072.

(with S. B. Bradlow, O. Garcia-Prada, V. Mercat and V. Munoz) On the geometry of moduli spaces of coherent systems on algebraic curves, Internat. J. Math. 18 (2007), no.4, 411--453, doi:10.1142/S0129167X07004151.

(with H. Lange) Coherent systems of genus 0 III: Computation of flips for k=1, Internat. J. Math. 19 (2008), no.9, 1103--1119.

(with H. Lange) Clifford's theorem for coherent systems, Archiv. der Math. 90 (2008), 209--216, doi:10.1007/s00013-007-2534-3.

(with U. N. Bhosle and L. Brambila-Paz) On coherent systems of type (n,d,n+1) on Petri curves, Manuscripta Math. 126 (2008), 409--441, doi:10.1007/s00229-008-0190-y.

(with S. B. Bradlow, O. Garcia-Prada, V. Mercat and V. Munoz) Moduli spaces of coherent systems of small slope on algebraic curves, Comm. in Algebra. 37 (2009), no.8, 2649--2678.

(with I. Biswas and L. Brambila-Paz) Stability of projective Poincare and Picard bundles, Bull. London Math. Soc. 41 (2009), no.3, 458--472, doi:10.1112/blms/bdp017. Free access link

Geometric Invariant Theory, in Moduli Spaces and Vector Bundles, CUP, Cambridge, 2009, pp99--127.

(with H. Lange) Hodge polynomials and birational types of moduli spaces of coherent systems on elliptic curves, Manuscripta Math. 130 (2009), 1--19, doi:10.1007/s00229-009-0276-1.

Existence of alpha-stable coherent systems on algebraic curves,in Grassmannians, Moduli Spaces and Vector Bundles, Clay Mathematics Proceedings, Vol. 14, AMS, Providence, RI, 2011, pp121--140.

(with H. Lange) Clifford indices for vector bundles on curves, in Alexander Schmitt (ed.), Affine Flag Manifolds and Principal Bundles, Trends in Mathematics, Birkhauser Basel, 2010, 165--202.

(with H. Lange) Generation of vector bundles computing Clifford indices, Archiv. der Math. 94 (2010), 529--537.

(with H. Lange) Lower bounds for Clifford indices in rank three, Math. Proc. Cambridge Philos. Soc. 150 (2011), 23--33.

(with H. Lange and V. Mercat) On an example of Mukai, Glasgow Math. J. 54 (2012), 261--271, doi:10.1017/S0017089511000577.

(with I. Grzegorczyk and V. Mercat) Stable bundles of rank 2 with 4 sections, Internat. J. Math. 22 (2011), 1743--1761, doi:10.1142/S0129167X11007434.

(with H. Lange) Further examples of stable bundles of rank 2 with 4 sections, Pure Appl. Math. Quarterly 7 no.4 (2011) (Special Issue: In memory of Eckart Viehweg), 1517--1538.

(with H. Lange) Vector bundles of rank 2 computing Clifford indices, Comm. in Algebra 41:6 (2013), doi:10.1080/00927872.2012.658532.

Book Review: Koszul cohomology and algebraic geometry (University Lecture Series 52) by Marian Aprodu and Jan Nagel, AMS, Providence, RI, 2010, Bull. London Math. Soc. 43(2) (2011), 411--414, doi:10.1112/blms/bdq134.

(with H. Lange) Bundles of rank 2 with small Clifford index on algebraic curves, in C. Faber, G. Farkas and R. de Jong (eds), Geometry and Arithmetic, series of Congress Reports, European Mathematical Society, Zurich, 2012, 267--281.

(with H. Lange) On bundles of rank 3 computing Clifford indices, Kyoto J. Math 53 no.1. (Maruyama memorial issue) (2013), 25--54.

(with M. Logares and V. Munoz) Hodge-Deligne polynomials of SL(2,C)-character varieties for curves of small genus, Rev. Mat. Complutense 57 (2013), 635--703, doi: 10.1007/s13163-013-0115-5.

Introduction to Moduli Problems and Orbit Spaces, Tata Institute of Fundamental Research Lectures on Mathematics, No. 51 (new printing of 1978 edition), Narosa Publishing House, 2012.

(with H. Lange) Bundles of rank 3 on curves of Clifford index 3, J. Symbolic Computation 57 (2013), 3--18, doi:10.1016/j.jsc.2013.05.002.

(with H. Lange) Bundles computing Clifford indices on trigonal curves, Archiv. der Math. 101 (2013), 21--31, doi:10.1007/S00013-013-0540-1.

(with E. Franco and O. Garcia-Prada) Higgs bundles over elliptic curves, arXiv 1302.2881, Illinois J. Math. 58, no.1 (2014), 43--96.

(with I. Grzegorczyk) On coherent systems of fixed determinant, Internat. J. Math. 25 (2014), no.5 (11 pages), doi:10.1142/S012916X14500451.

(with U. N. Bhosle and L. Brambila-Paz) On linear systems and a conjecture of D. C. Butler, Internat. J. Math. 25, no.1 (2015) 1550007 (18 pages), doi:10.1142/S0129167X1550007X.

(with E. Franco and O. Garcia-Prada) Higgs bundles over elliptic curves for complex reductive Lie groups, arXiv 1310.2168.

(with H. Lange and Seong Suk Park) Non-emptiness of Brill-noether loci in M(2,K), Comm. in Algebra 44:2 (2016), 746--767, doi:10.1080/00927872.2014.990020.

(with H. Lange and V. Strehl) Non-emptiness of Brill-noether loci in M(2,L), Internat. J. Math. 26, no.12 (2015) 1550108 (26 pages), doi:10.1142/S0129167X15501086.

(with H. Lange) Higher rank BN-theory for curves of genus 4, arXiv 1511.03061, Comm. in Algebra (online first), doi:10.1080/00927872.2016.1251938.

(with H. Lange) Higher rank BN-theory for curves of genus 5, Rev. Mat. Complutense 29 (2016), 691--717, doi:10.1007/s13163-016-0203-4.

(with E. Franco and O. Garcia-Prada) Higgs bundles over elliptic curves for real groups, arXiv 1605.04409.

Some examples of rank-2 Brill-Noether loci, arXiv 1608.06421.

Recent invited visits, invited lectures etc.

Future plans

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