LOCAL NEGATIVITY OF SURFACES WITH NON-NEGATIVE KODAIRA DIMENSION AND TRANSVERSAL CONFIGURATIONS OF CURVES
Glasgow mathematical journal, Tome 62 (2020) no. 1, pp. 123-135
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We give a bound on the H-constants of configurations of smooth curves having transversal intersection points only on an algebraic surface of non-negative Kodaira dimension. We also study in detail configurations of lines on smooth complete intersections $X \subset \mathbb{P}_{\mathbb{C}}^{n + 2}$ of multi-degree d = (d1, ..., dn), and we provide a sharp and uniform bound on their H-constants, which only depends on d.
LAFACE, ROBERTO; POKORA, PIOTR. LOCAL NEGATIVITY OF SURFACES WITH NON-NEGATIVE KODAIRA DIMENSION AND TRANSVERSAL CONFIGURATIONS OF CURVES. Glasgow mathematical journal, Tome 62 (2020) no. 1, pp. 123-135. doi: 10.1017/S0017089518000575
@article{10_1017_S0017089518000575,
author = {LAFACE, ROBERTO and POKORA, PIOTR},
title = {LOCAL {NEGATIVITY} {OF} {SURFACES} {WITH} {NON-NEGATIVE} {KODAIRA} {DIMENSION} {AND} {TRANSVERSAL} {CONFIGURATIONS} {OF} {CURVES}},
journal = {Glasgow mathematical journal},
pages = {123--135},
year = {2020},
volume = {62},
number = {1},
doi = {10.1017/S0017089518000575},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000575/}
}
TY - JOUR AU - LAFACE, ROBERTO AU - POKORA, PIOTR TI - LOCAL NEGATIVITY OF SURFACES WITH NON-NEGATIVE KODAIRA DIMENSION AND TRANSVERSAL CONFIGURATIONS OF CURVES JO - Glasgow mathematical journal PY - 2020 SP - 123 EP - 135 VL - 62 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000575/ DO - 10.1017/S0017089518000575 ID - 10_1017_S0017089518000575 ER -
%0 Journal Article %A LAFACE, ROBERTO %A POKORA, PIOTR %T LOCAL NEGATIVITY OF SURFACES WITH NON-NEGATIVE KODAIRA DIMENSION AND TRANSVERSAL CONFIGURATIONS OF CURVES %J Glasgow mathematical journal %D 2020 %P 123-135 %V 62 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089518000575/ %R 10.1017/S0017089518000575 %F 10_1017_S0017089518000575
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