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Projective bundle
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51	TWELVE POINTS ON THE PROJECTIVE LINE, BRANCHED COVERS, AND RATIONAL ELLIPTIC FIBRATIONS RAVI VAKIL Abstract. The following divisors in the space Sym12 P1 of twelve points on P1 are actually the same: (A) the possible loc Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2002-02-22 23:12:12 Algebraic surfaces Algebraic curves Birational geometry Vector bundles Canonical bundle Elliptic surface Del Pezzo surface Ample line bundle Riemann–Roch theorem Algebraic geometry Geometry Abstract algebra
52	THE MODULI SPACE OF CURVES AND ITS TAUTOLOGICAL RING RAVI VAKIL The moduli space of curves has proven itself a central object in geometry. The past decade has seen substantial progress in understanding the moduli space o Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2003-03-14 11:50:44 Moduli theory Algebraic geometry Invariant theory Vector bundles Moduli space Projective geometry Moduli of algebraic curves Line bundle Algebraic stack Abstract algebra Geometry Topology
53	PROJECTIVE PRODUCT SPACES DONALD M. DAVIS Abstract. Let n = (n1 , . . . , nr ). The quotient space Pn := S n1 × · · · × S nr /(x ∼ −x) is what we call a projective product space. We determine the integral cohomo Add to Reading List Source URL: www.lehigh.edu Language: English - Date: 2009-08-24 07:19:56 Algebra Projective space Steenrod algebra Serre spectral sequence Sheaf Thom space Cohomology Line bundle Abstract algebra Topology Algebraic topology
54	SOME NEW NONIMMERSION RESULTS FOR REAL PROJECTIVE SPACES DONALD M. DAVIS Abstract. We use the spectrum tmf to obtain new nonimmersion results for many real projective spaces RP n for n as small as 113. The only new ingre Add to Reading List Source URL: www.lehigh.edu Language: English - Date: 2011-01-28 09:50:50 Topology Topological modular forms Duality Projective space Spectral sequence Ample line bundle Immersion Geometry Abstract algebra Projective geometry
55	INTRODUCTION TO ALGEBRAIC GEOMETRY, CLASS 12 RAVI VAKIL Contents 1. Products of projective varieties; the Segre map 1.1. P1 × P1 and the smooth quadric surface Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2000-05-04 14:23:12 Algebraic variety Rational mapping Segre embedding Quasiprojective variety Product Sheaf Quadric Ample line bundle Proper morphism Geometry Abstract algebra Algebraic geometry
56	FOUNDATIONS OF ALGEBRAIC GEOMETRY CLASSES 43 AND 44 RAVI VAKIL C ONTENTS 1. Flat implies constant Euler characteristic Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2007-06-28 15:31:19 Algebraic geometry Algebraic topology Homological algebra Projective geometry Vector bundles Flat morphism Sheaf Projective space Ample line bundle Abstract algebra Geometry Algebra
57	INCOMPRESSIBILITY OF PRODUCTS NIKITA A. KARPENKO Abstract. We show that the conjectural criterion of p-incompressibility for products of projective homogeneous varieties in terms of the factors, previously known in a few Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2015-01-31 12:09:13 Algebra Motive Chow ring Ample line bundle Algebraic variety Rational mapping Abstract algebra Algebraic geometry Geometry
58	Line bundles with connections on projective varieties over function fields and number fields Klaus Künnemann (Regensburg) Fields Institute, Toronto, October 23rd 2008 Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2008-10-29 09:58:17 Algebraic topology Differential topology Vector bundle Vectors Theorem Mathematics Logic Algebra
59	Contents[removed]January 3: Gersten’s conjecture: If A is a discrete valuation ring with residue field k, then the transfer map K∗ (k) → K∗ (A) is zero. January 6: Exact categories with a resolving full exact Add to Reading List Source URL: www.claymath.org Language: English - Date: 2014-04-29 09:27:06 Algebraic topology Algebraic geometry Homotopy theory Projective geometry Differential topology Grassmannian Algebraic K-theory K-theory Vector bundle Abstract algebra Topology Algebra
60	IJCV[removed]), pp[removed], Sept./Oct[removed]Scalable Extrinsic Calibration of Omni-Directional Image Networks MATTHEW ANTONE AND SETH TELLER Computer Graphics Group, MIT Lab for Computer Science, Technology Square, Camb Add to Reading List Source URL: people.csail.mit.edu Language: English - Date: 2006-12-06 19:07:25 Projective geometry Euclidean plane geometry Algebraic geometry Bundle adjustment Geodesy Surveying Projective plane Expectation–maximization algorithm Duality Geometry Mathematics Algebra