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FIBERED VARIETIES OVER CURVES WITH LOW SLOPE AND SHARP BOUNDS IN DIMENSION THREE

期刊: JOURNAL OF ALGEBRAIC GEOMETRY, 2021; 30 (1)

In this paper, we first construct varieties of any dimension n > 2 fibered over curves with low slopes. These examples violate the conjectural slop......

THE GEOMETRY OF DEGENERATIONS OF HILBERT SCHEMES OF POINTS

期刊: JOURNAL OF ALGEBRAIC GEOMETRY, 2021; 30 (1)

Given a strict simple degeneration f : X -> C the first three authors previously constructed a degeneration I-X/C(n) -> C of the relative degree......

PSEUDO-EFFECTIVE LINE BUNDLES OVER HOLOMORPHICALLY CONVEX MANIFOLDS

期刊: JOURNAL OF ALGEBRAIC GEOMETRY, 2019; 28 (1)

In the present paper, we consider the pseudo-effective line bundles over holomorphically convex manifolds and obtain some results related to the vanis......

JIF:0.86

GENERATING FUNCTIONS FOR K-THEORETIC DONALDSON INVARIANTS AND LE POTIER'S STRANGE DUALITY

期刊: JOURNAL OF ALGEBRAIC GEOMETRY, 2019; 28 (1)

For a projective algebraic surface X with an ample line bundle H, let M-H(X) (c) be the moduli space H-semistable sheaves epsilon of class c in the Gr......

JIF:0.86

GEOMETRY OF LOGARITHMIC FORMS AND DEFORMATIONS OF COMPLEX STRUCTURES

期刊: JOURNAL OF ALGEBRAIC GEOMETRY, 2019; 28 (4)

We present a new method to solve certain (partial derivative) over bar -equations for logarithmic differential forms by using harmonic integral theory......

JIF:0.86

SPECIAL BIRATIONAL TRANSFORMATIONS OF TYPE (2,1)

期刊: JOURNAL OF ALGEBRAIC GEOMETRY, 2018; 27 (1)

A birational transformation Phi : P-n -> Z subset of PN, where Z subset of P-N is a nonsingular variety of Picard number 1, is called a special bir......

JIF:0.86

AFFINE DELIGNE-LUSZTIG VARIETIES AND THE ACTION OF J

期刊: JOURNAL OF ALGEBRAIC GEOMETRY, 2018; 27 (2)

We propose a new stratification of the reduced subschemes of RapoportZink spaces and of affine Deligne-Lusztig varieties that highlights the relation ......

JIF:0.86

GENERIC BASE CHANGE, ARTIN'S COMPARISON THEOREM, AND THE DECOMPOSITION THEOREM FOR COMPLEX ARTIN STACKS

期刊: JOURNAL OF ALGEBRAIC GEOMETRY, 2017; 26 (3)

We prove the generic base change theorem for stacks and give an exposition on the lisse-analytic topos of complex analytic stacks, proving some compar......

JIF:1.35

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