Abstract
The number 52 832 040 of eliptic quartic curves of P{sup 3} that meet 16 lines in general position as well as the number 47 867 287 590 090 of Del Pezzo Surfaces in P{sup 4} that meet 26 lines in general position are computed. To this end an explicit description of the Hilbert scheme parameterizing complete intersections of two quadrics in P{sup n} in terms of blowing up of Grassmannians is used. The method applies to the complete intersection of two quadrics in P{sup n}, n{>=}3. (author). 6 refs.
Citation Formats
Avritzer, D.
Enumerative geometry of Del Pezzo Surfaces.
IAEA: N. p.,
1993.
Web.
Avritzer, D.
Enumerative geometry of Del Pezzo Surfaces.
IAEA.
Avritzer, D.
1993.
"Enumerative geometry of Del Pezzo Surfaces."
IAEA.
@misc{etde_10151985,
title = {Enumerative geometry of Del Pezzo Surfaces}
author = {Avritzer, D}
abstractNote = {The number 52 832 040 of eliptic quartic curves of P{sup 3} that meet 16 lines in general position as well as the number 47 867 287 590 090 of Del Pezzo Surfaces in P{sup 4} that meet 26 lines in general position are computed. To this end an explicit description of the Hilbert scheme parameterizing complete intersections of two quadrics in P{sup n} in terms of blowing up of Grassmannians is used. The method applies to the complete intersection of two quadrics in P{sup n}, n{>=}3. (author). 6 refs.}
place = {IAEA}
year = {1993}
month = {Mar}
}
title = {Enumerative geometry of Del Pezzo Surfaces}
author = {Avritzer, D}
abstractNote = {The number 52 832 040 of eliptic quartic curves of P{sup 3} that meet 16 lines in general position as well as the number 47 867 287 590 090 of Del Pezzo Surfaces in P{sup 4} that meet 26 lines in general position are computed. To this end an explicit description of the Hilbert scheme parameterizing complete intersections of two quadrics in P{sup n} in terms of blowing up of Grassmannians is used. The method applies to the complete intersection of two quadrics in P{sup n}, n{>=}3. (author). 6 refs.}
place = {IAEA}
year = {1993}
month = {Mar}
}