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Canonical bundle
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41	THE HASSE PRINCIPLE AND THE BRAUER-MANIN OBSTRUCTION FOR CURVES E.V. FLYNN Abstract. We discuss a range of ways, extending existing methods, to demonstrate violations of the Hasse principle on curves. Of particular inter Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Vector bundles Algebraic number theory Field theory Number theory Algebraic curves Elliptic curve Divisor Canonical bundle Hasse principle Abstract algebra Mathematics Algebraic geometry
42	TOWERS OF 2-COVERS OF HYPERELLIPTIC CURVES NILS BRUIN AND E. VICTOR FLYNN Abstract. In this article, we give a way of constructing an unramified Galoiscover of a hyperelliptic curve. The geometric Galois-group is an elem Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Diophantine geometry Algebraic surfaces Abelian varieties Analytic number theory Elliptic curve Mordell–Weil theorem Hyperelliptic curve Canonical bundle Algebraic geometry Abstract algebra Geometry
43	LARGE RATIONAL TORSION ON ABELIAN VARIETIES E. V. Flynn, Mathematical Institute, University of Oxford Abstract A method of searching for large rational torsion on Abelian varieties is described. A few explicit applicatio Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Elliptic curve Torsion Canonical bundle Abelian variety Modular curve Divisor Linear system of divisors Rational point Abstract algebra Algebraic geometry Geometry
44	Needles in a Haystack: Special Varieties via Small Fields Frank-Olaf Schreyer and Fabio Tonoli In this article we illustrate how picking points over a finite field at random can help to investigate algebraic geometry que Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2001-04-28 11:04:05 Algebraic curves Moduli theory Vector bundles Algebraic varieties Moduli space Canonical bundle Special divisor Curve Hilbert scheme Algebraic geometry Geometry Abstract algebra
45	Some comments on elliptic curves over general number fields and Brill-Noether modular varieties B. Mazur November 3, 2013 Very rough notes for a lecture to be given October 5, 2013 at the Quebec/Maine Number Theory Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-11-03 12:11:28 Elliptic curves Algebraic curves Analytic number theory Group theory Diophantine geometry Modular curve Canonical bundle Torsion tensor Mordell–Weil theorem Abstract algebra Geometry Mathematics
46	S´ eminaires & Congr` es 6, 2002, p. 249–272 TORIC MORI THEORY AND FANO MANIFOLDS Add to Reading List Source URL: www.emis.de Language: English - Date: 2002-09-09 04:34:23 Birational geometry Toric variety Cone of curves Blowing up Minimal model program Canonical bundle Ample line bundle Vector bundle Sheaf Geometry Abstract algebra Algebraic geometry
47	An Overview of the Search for Minimal Models of Algebraic Threefolds Sinan Sert¨oz Bilkent University Department of Mathematics Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-02-20 09:54:26 Birational geometry Divisor Cone of curves Minimal model program Canonical bundle Linear system of divisors Rational mapping Flip Intersection number Geometry Algebraic geometry Abstract algebra
48	A new classification of links and some calculations using it Colin Rourke Add to Reading List Source URL: msp.warwick.ac.uk Language: English - Date: 2007-11-07 06:44:53 Trefoil knot Framed knot Seifert surface Fundamental group Racks and quandles Canonical bundle Knot Mutation Homotopy Knot theory Topology Abstract algebra
49	Hurwitz spaces of genus 2 covers of an elliptic curve Ernst Kani Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2001-08-10 16:53:12 Vector bundles Algebraic curves Riemann–Roch theorem Ample line bundle Elliptic curve Theta divisor Algebraic number field Canonical bundle Abstract algebra Algebraic geometry Algebra
50	The number of genus 2 covers of an elliptic curve Ernst Kani Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2006-05-04 14:01:16 Analytic number theory Vector bundles Modular form Moduli theory Elliptic curve Canonical bundle Ample line bundle Abstract algebra Algebraic geometry Mathematics

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