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Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces

Selecta mathematica (Basel, Switzerland), 2022-05, Vol.28 (2), Article 25

2022

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Rational configurations in K3 surfaces and simply-connected pg=1 surfaces with K2=1,2,3,4,5,6,7,8,9

Mathematische Zeitschrift, 2022, Vol.302 (4), p.2435-2467

2022

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Chern slopes of simply connected complex surfaces of general type are dense in [2,3]

Annals of mathematics, 2015-07, Vol.182 (1), p.287-306

2015

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Families of explicit quasi-hyperbolic and hyperbolic surfaces

Mathematische Zeitschrift, 2020-10, Vol.296 (1-2), p.573-593

2020

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Arrangements of curves and algebraic surfaces

Journal of algebraic geometry, 2010-04, Vol.19 (2), p.335-365

Urzúa, Giancarlo

2010

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Optimal bounds for T-singularities in stable surfaces

Advances in mathematics (New York. 1965), 2019-03, Vol.345, p.814-844

2019

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Rigid surfaces arbitrarily close to the Bogomolov–Miyaoka–Yau line

American journal of mathematics, 2022-12, Vol.144 (6), p.1783-1804

2022

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Some open questions about line arrangements in the projective plane

Proyecciones (Antofagasta), 2022-04, Vol.41 (2), p.517-536

Urzúa, Giancarlo

2022

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Bounding Tangencies of Sections on Elliptic Surfaces

International mathematics research notices, 2021-03, Vol.2021 (6), p.4768-4802

2021

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Savage surfaces

Journal of the European Mathematical Society : JEMS, 2023-01, Vol.25 (10), p.4205-4219

2023

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Rational configurations in K3 surfaces and simply-connected $$p_g=1$$ surfaces with $$K^2=1,2,3,4,5,6,7,8,9

Mathematische Zeitschrift, 2022-12, Vol.302 (4), p.2435-2467

2022

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Identifying neighbors of stable surfaces

Annali della Scuola normale superiore di Pisa, Classe di scienze, 2016-01, p.1093-1122

Urzúa, Giancarlo

2016

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Milnor fibers and symplectic fillings of quotient surface singularities

Advances in mathematics (New York. 1965), 2018-04, Vol.329, p.1156-1230

2018

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Antiflips, mutations, and unbounded symplectic embeddings of rational homology balls

Annales de l'Institut Fourier, 2022-03, Vol.71 (5), p.1807-1843

2022

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On the geography of line arrangements

Advances in geometry, 2022-04, Vol.22 (2), p.269-276

2022

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Chern slopes of surfaces of general type in positive characteristic

Duke mathematical journal, 2017-04, Vol.166 (5)

Urzúa, Giancarlo

2017

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Flipping surfaces

Journal of algebraic geometry, 2017-04, Vol.26 (2), p.279-345

2017

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On $\boldsymbol{{\mathbb Z}/3}$-Godeaux Surfaces

International mathematics research notices, 2018-09, Vol.2018 (18), p.5609-5637

2018

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On wormholes in the moduli space of surfaces

Algebraic geometry, 2022-01, p.39-68

2022

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Simple embeddings of rational homology balls and antiflips

Algebraic & geometric topology, 2021-08, Vol.21 (4), p.1857-1880

2021

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mathbb Q$-Gorenstein smoothings of surfaces and degenerations of curves

Rendiconti - Seminario matematico della Università di Padova, 2016-12, Vol.136, p.111-136

Urzúa, Giancarlo

2016

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On degenerations of $\mathbb{Z}/2$-Godeaux surfaces

Revista matemática iberoamericana, 2022-08, Vol.38 (5), p.1399-1423

2022

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Chilean configuration of conics, lines and points

Annali della Scuola normale superiore di Pisa, Classe di scienze, 2022-01, p.877-914

2022

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The Craighero–Gattazzo surface is simply connected

Compositio mathematica, 2017-03, Vol.153 (3), p.557-585

2017

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KSBA surfaces with elliptic quotient singularities, π1 = 1, p g = 0, and K 2 = 1, 2

Israel journal of mathematics, 2016-07, Vol.214 (2), p.651-673

2016

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Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces

Rational configurations in K3 surfaces and simply-connected pg=1 surfaces with K2=1,2,3,4,5,6,7,8,9

Chern slopes of simply connected complex surfaces of general type are dense in [2,3]

Families of explicit quasi-hyperbolic and hyperbolic surfaces

Arrangements of curves and algebraic surfaces

Optimal bounds for T-singularities in stable surfaces

Rigid surfaces arbitrarily close to the Bogomolov–Miyaoka–Yau line

Some open questions about line arrangements in the projective plane

Bounding Tangencies of Sections on Elliptic Surfaces

Savage surfaces

Rational configurations in K3 surfaces and simply-connected $$p_g=1$$ surfaces with $$K^2=1,2,3,4,5,6,7,8,9

Identifying neighbors of stable surfaces

Milnor fibers and symplectic fillings of quotient surface singularities

Antiflips, mutations, and unbounded symplectic embeddings of rational homology balls

On the geography of line arrangements

Chern slopes of surfaces of general type in positive characteristic

Flipping surfaces

On $\boldsymbol{{\mathbb Z}/3}$-Godeaux Surfaces

On wormholes in the moduli space of surfaces

Simple embeddings of rational homology balls and antiflips

mathbb Q$-Gorenstein smoothings of surfaces and degenerations of curves

On degenerations of $\mathbb{Z}/2$-Godeaux surfaces

Chilean configuration of conics, lines and points

The Craighero–Gattazzo surface is simply connected

KSBA surfaces with elliptic quotient singularities, π1 = 1, p g = 0, and K 2 = 1, 2

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