avermeersch
commited on
Commit
·
1c999d2
1
Parent(s):
2f90b22
Update README.md
Browse files
README.md
CHANGED
@@ -53,7 +53,7 @@ The dataset is presented in a nested JSON format, with each entry containing bot
|
|
53 |
|
54 |
- `N1`, `N2`: Similar to the M lattice, these are point and vertex numbers in the N lattice, which is dual to the M lattice. The N lattice provides a different but equally important geometric perspective for understanding the polyhedron.
|
55 |
|
56 |
-
- `Pic`: The Picard number is a topological invariant that measures the
|
57 |
|
58 |
- `Cor`: The correction term is a specific mathematical entity that adjusts the Picard number to account for certain topological peculiarities. The Picard numbers of a polyhedron and its dual add up to \( 20 + \text{correction} \).
|
59 |
|
|
|
53 |
|
54 |
- `N1`, `N2`: Similar to the M lattice, these are point and vertex numbers in the N lattice, which is dual to the M lattice. The N lattice provides a different but equally important geometric perspective for understanding the polyhedron.
|
55 |
|
56 |
+
- `Pic`: The Picard number is a topological invariant that measures the rank of the Néron-Severi group of a manifold. In the context of Calabi-Yau threefolds, it helps to determine the number of independent 2-cycles, which has physical implications like the number of U(1) gauge fields in the effective theory.
|
57 |
|
58 |
- `Cor`: The correction term is a specific mathematical entity that adjusts the Picard number to account for certain topological peculiarities. The Picard numbers of a polyhedron and its dual add up to \( 20 + \text{correction} \).
|
59 |
|