Philip Engel

Threefold Explorer

Build a threefold!

Choose an Oguiso–Shioda family, sections P and Q, a linearization divisor, and exact log modification vectors. The calculation returns the integral cohomology and fundamental group of the resulting compact threefold.

Checking Sage service…
1

Surface

Oguiso–Shioda entry

(99 more integral cohomology patterns)
2

Sections

Choose P and Q

P specifies the line bundle O(P−O); Q is the translating section.

3

Linearization

Place the zeros or poles

Total degree 0 → required —
4

Local fillings

Choose log modification data