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MORDELL EXCEPTIONAL LOCUS FOR SUBVARIETIES OF THE ADDITIVE GROUP
"... Abstract. We define the Mordell exceptional locus Z(V) for affine varieties V ⊂ G g a with respect to the action of a product of Drinfeld modules on the coordinates of G g a. We show that Z(V) is a closed subset of V. We also show that there are finitely many maximal algebraic φmodules whose transl ..."
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Abstract. We define the Mordell exceptional locus Z(V) for affine varieties V ⊂ G g a with respect to the action of a product of Drinfeld modules on the coordinates of G g a. We show that Z(V) is a closed subset of V. We also show that there are finitely many maximal algebraic φmodules whose
The Locus of Exceptionality:
"... Morphemes often behave differently phonologically in ways that cannot be explained purely phonologically: one morpheme undergoes or triggers a process while another ..."
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Morphemes often behave differently phonologically in ways that cannot be explained purely phonologically: one morpheme undergoes or triggers a process while another
THE DYNAMICAL MORDELLLANG CONJECTURE
, 2007
"... We prove a special case of a dynamical analogue of the classical MordellLang conjecture. In particular, let φ be a rational function with no superattracting periodic points other than exceptional points. If the coefficients of φ are algebraic, we show that the orbit of a point outside the union o ..."
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We prove a special case of a dynamical analogue of the classical MordellLang conjecture. In particular, let φ be a rational function with no superattracting periodic points other than exceptional points. If the coefficients of φ are algebraic, we show that the orbit of a point outside the union
The locus of exceptionality: Morphemespecific phonology as constraint indexation
 In Leah Bateman & Adam Werle (eds.) UMOP: Papers in Optimality Theory III
, 2006
"... Morphemes often behave differently phonologically in ways that cannot be explained purely phonologically: one morpheme undergoes or triggers a process while another morpheme fails to undergo or trigger that process, even though the two are in all relevant ..."
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Cited by 50 (3 self)
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Morphemes often behave differently phonologically in ways that cannot be explained purely phonologically: one morpheme undergoes or triggers a process while another morpheme fails to undergo or trigger that process, even though the two are in all relevant
Locus
"... Supplemental Figure 1. H3K27me3 profiles in Col and Ler are similar. (A) GBrowse overview of a representative 0.5 Mb region on chromosome 5. Tracks show scaled mean log2 values (IP/INPUT) for each probe from two replicate ChIPchip microarrays for each Col and Ler. (B) Zoom into a 30kb region of ch ..."
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of chromosome 5 including representative gene AT5G10140. The track ‘Locus ’ shows genes (red boxes) annotated in TAIR9. H3K27me3 profiles in Col (black) and Ler (blue) are as in (A), reciprocal F1 hybrids (gray) are analyzed by ChIPseq. Data show 300 bp extended unique reads. 1 Supplemental Material Dong
Exceptional Points in the EllipticHyperelliptic Locus
, 2008
"... An exceptional point in moduli space is a unique surface class whose full group of conformal automorphisms acts with a triangular signature. In this paper we determine, up to topological conjugacy, the full group of conformal and anticonformal automorphisms of a symmetric exceptional point in the el ..."
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Cited by 3 (1 self)
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in the elliptichyperelliptic locus in moduli space. We determine the number of ovals of any symmetry of such a surface. We show that while the elliptichyperelliptic locus in moduli space can contain an arbitrarily large number of exceptional points, no more than four are also symmetric.
The Absolute MordellLang Conjecture in Positive Characteristic
"... . We describe intersections of finitely generated subgroups of semiabelian varieties with subvarieties in characteristic p. 1. Introduction A version of the MordellLang Conjecture in characteristic zero asserts that if G is a semiabelian variety, # # G is a finitely generated group, and X # ..."
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Cited by 6 (3 self)
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Lang Conjecture valid in all characteristics in which all counterexamples are shown to come from varieties defined over the algebraic closure of the prime field. By the work of Faltings [Fa], the MordellLang Conjecture is true in characteristic zero. In this paper, we supply a description of the exceptional
Elliptic Curves from Mordell to Diophantus and Back
 AMERICAN MATH MONTHLY
, 2002
"... Many years ago, one of us was reading through L. J. Mordell’s “Diophantine Equations” and was struck by a curious statement—namely, that the curve C: y^2 = x^3 + 17 contains exactly sixteen points (x, y) with x and y integers.A list of the points followed. Many questions immediately came to mind. Ho ..."
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Cited by 2 (0 self)
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have many more integer points than C
• tell about the rank of an elliptic curve (which was studied in great detail by Mordell, incidentally) and give a simple proof that if m>=2, then the rank of E_m is at least 2. By simple, we mean that  except for a couple of assumptions about ranks of curves
ON A UNIFORM BOUND FOR THE NUMBER OF EXCEPTIONAL LINEAR SUBVARIETIES IN THE DYNAMICAL MORDELL–LANG CONJECTURE
"... Abstract. Let φ: P n → P n be a morphism of degree d ≥ 2 defined over C. The dynamical Mordell–Lang conjecture says that the intersection of an orbit Oφ(P) and a subvariety X ⊂ P n is usually finite. We consider the number of linear subvarieties L ⊂ P n such that the intersection Oφ(P) ∩ L is “larg ..."
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Cited by 2 (0 self)
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Abstract. Let φ: P n → P n be a morphism of degree d ≥ 2 defined over C. The dynamical Mordell–Lang conjecture says that the intersection of an orbit Oφ(P) and a subvariety X ⊂ P n is usually finite. We consider the number of linear subvarieties L ⊂ P n such that the intersection Oφ(P) ∩ L
ON THE EXCEPTIONAL LOCUS OF THE BIRATIONAL PROJECTIONS OF A NORMAL SURFACE
, 804
"... Abstract. Given a normal surface singularity (X, Q) and a birational morphism to a nonsingular surface π: X → S, we investigate the local geometry of the exceptional divisor L of π. We prove that the dimension of the tangent space to L at Q equals the number of exceptional components meeting at Q. C ..."
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Abstract. Given a normal surface singularity (X, Q) and a birational morphism to a nonsingular surface π: X → S, we investigate the local geometry of the exceptional divisor L of π. We prove that the dimension of the tangent space to L at Q equals the number of exceptional components meeting at Q
Results 1  10
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528